Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37518d |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
102960 |
Modular degree for the optimal curve |
Δ |
-63274050310302 = -1 · 2 · 311 · 136 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -1 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2870,379306] |
[a1,a2,a3,a4,a6] |
j |
541343375/13108878 |
j-invariant |
L |
0.46617221588229 |
L(r)(E,1)/r! |
Ω |
0.46617221587396 |
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 |
112554x1 222b1 |
Quadratic twists by: -3 13 |