Atkin-Lehner |
2+ 3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758j |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
69984 |
Modular degree for the optimal curve |
Δ |
-10208715377742 = -1 · 2 · 39 · 73 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1971,157204] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:332:1] |
Generators of the group modulo torsion |
j |
-846187887651625/10208715377742 |
j-invariant |
L |
5.9855618133492 |
L(r)(E,1)/r! |
Ω |
0.61465964372846 |
Real period |
R |
1.0820011212567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113274bq1 |
Quadratic twists by: -3 |