Atkin-Lehner |
13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6253c |
Isogeny class |
Conductor |
6253 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
178591933 = 136 · 37 |
Discriminant |
Eigenvalues |
2 -3 2 1 5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-169,549] |
[a1,a2,a3,a4,a6] |
j |
110592/37 |
j-invariant |
L |
3.320944196914 |
L(r)(E,1)/r! |
Ω |
1.660472098457 |
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 |
100048n1 56277p1 37a1 |
Quadratic twists by: -4 -3 13 |