Atkin-Lehner |
3- 5+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755d |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
5743296130469625 = 36 · 53 · 78 · 13 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263445,-51851800] |
[a1,a2,a3,a4,a6] |
j |
2773747937160483921/7878321166625 |
j-invariant |
L |
1.6861294581636 |
L(r)(E,1)/r! |
Ω |
0.21076628116802 |
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 |
13195j1 |
Quadratic twists by: -3 |