Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038bt |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-170093601086346 = -1 · 2 · 36 · 711 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9031,-535741] |
[a1,a2,a3,a4,a6] |
Generators |
[8094:254375:8] |
Generators of the group modulo torsion |
j |
949862087/1983226 |
j-invariant |
L |
6.3284030797582 |
L(r)(E,1)/r! |
Ω |
0.29784678480792 |
Real period |
R |
5.3117940183824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782b1 7434g1 |
Quadratic twists by: -3 -7 |