Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70785v |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
960960 |
Modular degree for the optimal curve |
Δ |
-31026478323509955 = -1 · 313 · 5 · 116 · 133 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 11- 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-207273,37296949] |
[a1,a2,a3,a4,a6] |
j |
-762549907456/24024195 |
j-invariant |
L |
2.2155245554689 |
L(r)(E,1)/r! |
Ω |
0.36925409435755 |
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 |
23595j1 585e1 |
Quadratic twists by: -3 -11 |