Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
58656s |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
2032201196752896 = 212 · 37 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 5 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-376461,-88753563] |
[a1,a2,a3,a4,a6] |
j |
1440538574922095104/496142870301 |
j-invariant |
L |
2.3129150594817 |
L(r)(E,1)/r! |
Ω |
0.19274292138988 |
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 |
58656v1 117312cv1 |
Quadratic twists by: -4 8 |