Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640f |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
16627855016864000 = 28 · 53 · 72 · 139 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71036,-3799264] |
[a1,a2,a3,a4,a6] |
j |
14602768/6125 |
j-invariant |
L |
0.60711984526039 |
L(r)(E,1)/r! |
Ω |
0.30355998447074 |
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 |
47320k1 94640bj1 |
Quadratic twists by: -4 13 |