Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
56800i |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
568000000 = 29 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 2 7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2275,41750] |
[a1,a2,a3,a4,a6] |
j |
162771336/71 |
j-invariant |
L |
6.4451153837987 |
L(r)(E,1)/r! |
Ω |
1.6112788455968 |
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 |
56800p1 113600bm1 2272d1 |
Quadratic twists by: -4 8 5 |