Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cf |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
3.222097887232E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 7 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132115208,-584470566412] |
[a1,a2,a3,a4,a6] |
Generators |
[-31332071125654359557501670124330:36318627022827613643563844009984:4710682915100157605400551125] |
Generators of the group modulo torsion |
j |
6375616158287489425/805524471808 |
j-invariant |
L |
7.8818646089742 |
L(r)(E,1)/r! |
Ω |
0.044531225152826 |
Real period |
R |
44.24908916117 |
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 |
6650b1 53200dd1 |
Quadratic twists by: -4 5 |