Atkin-Lehner |
2+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
93800a |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
7504000000 = 210 · 56 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -2 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11408,-465188] |
[a1,a2,a3,a4,a6] |
Generators |
[-7670:536:125] |
Generators of the group modulo torsion |
j |
10262905636/469 |
j-invariant |
L |
4.2135236306566 |
L(r)(E,1)/r! |
Ω |
0.46195023777886 |
Real period |
R |
4.5605817459251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999686165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3752m1 |
Quadratic twists by: 5 |