Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920a |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
1365407729920 = 28 · 5 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62023,5945082] |
[a1,a2,a3,a4,a6] |
j |
21354132816/1105 |
j-invariant |
L |
3.2311252627323 |
L(r)(E,1)/r! |
Ω |
0.80778137247504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8840d1 |
Quadratic twists by: 13 |