Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808n |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-168133004361728 = -1 · 226 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10527,461665] |
[a1,a2,a3,a4,a6] |
Generators |
[2163:-36352:27] |
Generators of the group modulo torsion |
j |
492103442375/641376512 |
j-invariant |
L |
4.8151628903305 |
L(r)(E,1)/r! |
Ω |
0.38545351283569 |
Real period |
R |
1.0410167785012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31808o1 994d1 |
Quadratic twists by: -4 8 |