Atkin-Lehner |
2- 3+ 5+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190p |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
643156200000 = 26 · 34 · 55 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2776,-42151] |
[a1,a2,a3,a4,a6] |
j |
2365875436837249/643156200000 |
j-invariant |
L |
4.0268116577334 |
L(r)(E,1)/r! |
Ω |
0.67113527628831 |
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 |
96570f1 |
Quadratic twists by: -3 |