Atkin-Lehner |
2+ 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60680a |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
12294496160000 = 28 · 54 · 374 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6716,125920] |
[a1,a2,a3,a4,a6] |
j |
130882165887184/48025375625 |
j-invariant |
L |
1.3035770529469 |
L(r)(E,1)/r! |
Ω |
0.65178852658268 |
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 |
121360a1 |
Quadratic twists by: -4 |