Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640c |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-945821892445470720 = -1 · 242 · 36 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,199359,-31934655] |
[a1,a2,a3,a4,a6] |
j |
3342636501165359/3608024186880 |
j-invariant |
L |
0.30175540878994 |
L(r)(E,1)/r! |
Ω |
0.1508777067329 |
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 |
56640cm1 1770h1 |
Quadratic twists by: -4 8 |