Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576ca |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
15858696978432 = 226 · 32 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6704,-91308] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:234:1] |
Generators of the group modulo torsion |
j |
8136367582897/3871752192 |
j-invariant |
L |
7.3677064905725 |
L(r)(E,1)/r! |
Ω |
0.5529103560088 |
Real period |
R |
3.3313295756361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322h1 |
Quadratic twists by: -4 |