Atkin-Lehner |
3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31581m |
Isogeny class |
Conductor |
31581 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
26128898586325953 = 313 · 117 · 292 |
Discriminant |
Eigenvalues |
1 3- 2 2 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-535266,150664135] |
[a1,a2,a3,a4,a6] |
j |
13132563308857/20231937 |
j-invariant |
L |
3.0077018428253 |
L(r)(E,1)/r! |
Ω |
0.37596273035297 |
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 |
10527b1 2871c1 |
Quadratic twists by: -3 -11 |