Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200cm |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63302400 |
Modular degree for the optimal curve |
Δ |
-3.371164179477E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1121448208,-14722042390088] |
[a1,a2,a3,a4,a6] |
Generators |
[460883701989417388569809261176060291515095915565880635090305967990137734738312610282459800423743882254252396782912686415592893576938058614480477423723945884755600161857537083701847843174281873699080178829253269892395584979879350022167352545:39267432812846690766445612511665689603730555571134575640544099869560489489146254488319863063252592070426303659606472440910632604980814951369312022174335233569641233577209604142111152191008114869080762787367778795723807166786966106279986911222:10934017506877703199294091651350875876178071172911732883629187676244694303937925496550358315200956029268811566506229011868596098232061729891163079358117769041162238069307972955401256363108044096247560075069520810644777148908464118235125] |
Generators of the group modulo torsion |
j |
-779886460619434886243720/16855820897385108159 |
j-invariant |
L |
4.8440485569403 |
L(r)(E,1)/r! |
Ω |
0.01302774097613 |
Real period |
R |
371.82567306303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200do1 127200z1 |
Quadratic twists by: -4 5 |