Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800d |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5358972025000000 = 26 · 58 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111925,-13975500] |
[a1,a2,a3,a4,a6] |
j |
87528384/3025 |
j-invariant |
L |
2.0925637627915 |
L(r)(E,1)/r! |
Ω |
0.26157047020858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96800bl1 19360v1 8800u1 |
Quadratic twists by: -4 5 -11 |