Atkin-Lehner |
3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64251g |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
248934325428657 = 39 · 118 · 59 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-486987,-130681072] |
[a1,a2,a3,a4,a6] |
Generators |
[368783494104:-27120790424273:67917312] |
Generators of the group modulo torsion |
j |
366293248875/7139 |
j-invariant |
L |
6.6130710506802 |
L(r)(E,1)/r! |
Ω |
0.18072601758808 |
Real period |
R |
18.295846770738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64251c1 5841d1 |
Quadratic twists by: -3 -11 |