Atkin-Lehner |
2- 7- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89474l |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
14377398112 = 25 · 72 · 113 · 832 |
Discriminant |
Eigenvalues |
2- -3 0 7- 11- -3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-615,1215] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:34:1] [-15:90:1] |
Generators of the group modulo torsion |
j |
524192468625/293416288 |
j-invariant |
L |
10.25291946476 |
L(r)(E,1)/r! |
Ω |
1.0810734303833 |
Real period |
R |
0.31613392076113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89474g1 |
Quadratic twists by: -7 |