Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8736k |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
386358336 = 26 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182,0] |
[a1,a2,a3,a4,a6] |
j |
10474708672/6036849 |
j-invariant |
L |
4.3187879224804 |
L(r)(E,1)/r! |
Ω |
1.4395959741601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8736d1 17472cg2 26208bs1 61152e1 |
Quadratic twists by: -4 8 -3 -7 |