Atkin-Lehner |
3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
25773a |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
13560557170941 = 34 · 119 · 71 |
Discriminant |
Eigenvalues |
0 3+ -1 5 11+ 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6211,-62052] |
[a1,a2,a3,a4,a6] |
j |
11239424/5751 |
j-invariant |
L |
2.2722893605857 |
L(r)(E,1)/r! |
Ω |
0.56807234014645 |
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 |
77319e1 25773b1 |
Quadratic twists by: -3 -11 |