Atkin-Lehner |
2+ 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710b |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
317003884800 = 28 · 3 · 52 · 234 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2913,52917] |
[a1,a2,a3,a4,a6] |
j |
2735130772977049/317003884800 |
j-invariant |
L |
1.8692915102948 |
L(r)(E,1)/r! |
Ω |
0.9346457551189 |
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 |
122130by1 |
Quadratic twists by: -3 |