Atkin-Lehner |
5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
55225b |
Isogeny class |
Conductor |
55225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5723136 |
Modular degree for the optimal curve |
Δ |
1.5460910658661E+22 |
Discriminant |
Eigenvalues |
1 1 5+ -1 -3 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-196105126,1056982654273] |
[a1,a2,a3,a4,a6] |
j |
4952031207028849/91796875 |
j-invariant |
L |
0.91451875616118 |
L(r)(E,1)/r! |
Ω |
0.11431484450174 |
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 |
11045c1 1175a1 |
Quadratic twists by: 5 -47 |