Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456p |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
220485888 = 28 · 34 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,-288] |
[a1,a2,a3,a4,a6] |
j |
4812208/2511 |
j-invariant |
L |
5.7204036701351 |
L(r)(E,1)/r! |
Ω |
1.4301009175395 |
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 |
72912i1 109368cd1 36456e1 |
Quadratic twists by: -4 -3 -7 |