Atkin-Lehner |
2- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
81400u |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
784513664000 = 210 · 53 · 112 · 373 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84568,9437568] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:3520:1] [8:2960:1] |
Generators of the group modulo torsion |
j |
522561076076084/6129013 |
j-invariant |
L |
8.1174836383773 |
L(r)(E,1)/r! |
Ω |
0.81366867986963 |
Real period |
R |
1.6627332145967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81400h1 |
Quadratic twists by: 5 |