Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34632o |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
65439518976 = 28 · 312 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 6 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1119,7490] |
[a1,a2,a3,a4,a6] |
j |
830321872/350649 |
j-invariant |
L |
3.9840063391469 |
L(r)(E,1)/r! |
Ω |
0.99600158478566 |
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 |
69264o1 11544c1 |
Quadratic twists by: -4 -3 |