Atkin-Lehner |
3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110925bg |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
78293092166015625 = 314 · 59 · 172 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4904667,-4179581384] |
[a1,a2,a3,a4,a6] |
j |
1145525568187869289/6873467625 |
j-invariant |
L |
0.81159086005407 |
L(r)(E,1)/r! |
Ω |
0.10144889599881 |
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 |
36975c1 22185r1 |
Quadratic twists by: -3 5 |