Atkin-Lehner |
2+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
58400b |
Isogeny class |
Conductor |
58400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
2920000000 = 29 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 5 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-1688] |
[a1,a2,a3,a4,a6] |
j |
941192/365 |
j-invariant |
L |
2.1952768792646 |
L(r)(E,1)/r! |
Ω |
1.09763843859 |
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 |
58400a1 116800cg1 11680e1 |
Quadratic twists by: -4 8 5 |