Atkin-Lehner |
2- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73040v |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
-536869181013299200 = -1 · 212 · 52 · 113 · 835 |
Discriminant |
Eigenvalues |
2- 0 5- 5 11- -3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,150493,27162594] |
[a1,a2,a3,a4,a6] |
Generators |
[455:13778:1] |
Generators of the group modulo torsion |
j |
92026448780575239/131071577395825 |
j-invariant |
L |
7.813663011341 |
L(r)(E,1)/r! |
Ω |
0.19796767410613 |
Real period |
R |
0.65782313925761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4565a1 |
Quadratic twists by: -4 |