Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872bb |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
2898208760832 = 210 · 37 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-392800,-94886716] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
2.6698363376797 |
L(r)(E,1)/r! |
Ω |
0.19070259554855 |
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 |
12936f1 103488ft1 77616by1 528c1 |
Quadratic twists by: -4 8 -3 -7 |