Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bi |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
10342080 |
Modular degree for the optimal curve |
Δ |
2.9753616180891E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41608851,61517055598] |
[a1,a2,a3,a4,a6] |
j |
509871621645082002682657/190423143557704974336 |
j-invariant |
L |
2.5639689201707 |
L(r)(E,1)/r! |
Ω |
0.073256254864177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806h1 |
Quadratic twists by: 5 |