Atkin-Lehner |
5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425c |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-102175046875 = -1 · 56 · 113 · 173 |
Discriminant |
Eigenvalues |
0 -2 5+ 3 11+ -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,917,11369] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-213:1] [-54:557:8] |
Generators of the group modulo torsion |
j |
4096000/4913 |
j-invariant |
L |
6.059269123446 |
L(r)(E,1)/r! |
Ω |
0.71017914172924 |
Real period |
R |
0.71100242734612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2057a1 51425a1 |
Quadratic twists by: 5 -11 |