Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312cv |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
31753143699264 = 26 · 37 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94115,-11141253] |
[a1,a2,a3,a4,a6] |
j |
1440538574922095104/496142870301 |
j-invariant |
L |
3.8161150493264 |
L(r)(E,1)/r! |
Ω |
0.27257965348097 |
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 |
117312bq1 58656s1 |
Quadratic twists by: -4 8 |