Atkin-Lehner |
2- 3- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37062m |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
397824 |
Modular degree for the optimal curve |
Δ |
13445984489472 = 212 · 313 · 29 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-844511,298925255] |
[a1,a2,a3,a4,a6] |
j |
91371685016636673193/18444423168 |
j-invariant |
L |
1.6786137024777 |
L(r)(E,1)/r! |
Ω |
0.55953790082619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12354d1 |
Quadratic twists by: -3 |