Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760v |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-12640191324750000 = -1 · 24 · 314 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1338,-5409191] |
[a1,a2,a3,a4,a6] |
j |
22711433216/1083692671875 |
j-invariant |
L |
4.4189169134146 |
L(r)(E,1)/r! |
Ω |
0.18412154599686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920be1 |
Quadratic twists by: -3 |