Atkin-Lehner |
3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31581q |
Isogeny class |
Conductor |
31581 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-47705849133607467 = -1 · 37 · 1110 · 292 |
Discriminant |
Eigenvalues |
-2 3- 2 -1 11- -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-570999,-166405946] |
[a1,a2,a3,a4,a6] |
j |
-1088868352/2523 |
j-invariant |
L |
0.69460902159159 |
L(r)(E,1)/r! |
Ω |
0.086826127698604 |
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 |
10527c1 31581g1 |
Quadratic twists by: -3 -11 |