Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568m |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2130455040 |
Modular degree for the optimal curve |
Δ |
6.1859518854566E+26 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 6 -1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37998022884432,90154970279923910796] |
[a1,a2,a3,a4,a6] |
Generators |
[27651495612373659125588176787349312449377233052185379070474151272416232815597994656648233491999963796754321618513070:139761979400440122137953703559477430667113658054793345531530858093739666618297819969083060945983676076193280273433:7769612955082236442798188893502191469932602996446475392324667903070702200637134308174697991175618996729877592] |
Generators of the group modulo torsion |
j |
73416622245758282538030976581862478/7485041718998289 |
j-invariant |
L |
4.595620655889 |
L(r)(E,1)/r! |
Ω |
0.013383098784792 |
Real period |
R |
171.69493888483 |
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 |
101136v1 50568v1 |
Quadratic twists by: -4 -7 |