Atkin-Lehner |
2- 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150l |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
319872 |
Modular degree for the optimal curve |
Δ |
130438898892800 = 214 · 52 · 23 · 614 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -1 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51583,-4497179] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:248:1] |
Generators of the group modulo torsion |
j |
607161212070051865/5217555955712 |
j-invariant |
L |
12.748668321014 |
L(r)(E,1)/r! |
Ω |
0.31695529599348 |
Real period |
R |
0.71825520602244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70150i1 |
Quadratic twists by: 5 |