Atkin-Lehner |
5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88985i |
Isogeny class |
Conductor |
88985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
401087180886925 = 52 · 132 · 377 |
Discriminant |
Eigenvalues |
2 -1 5- -1 -3 13- 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22360,860581] |
[a1,a2,a3,a4,a6] |
Generators |
[-3580:88953:64] |
Generators of the group modulo torsion |
j |
481890304/156325 |
j-invariant |
L |
11.13326444197 |
L(r)(E,1)/r! |
Ω |
0.49189388783198 |
Real period |
R |
1.4145917348089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2405b1 |
Quadratic twists by: 37 |