Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128bf |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1748736 |
Modular degree for the optimal curve |
Δ |
1.3046724939406E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3052876,-1094260459] |
[a1,a2,a3,a4,a6] |
j |
196666942442792369200384/81542030871284915841 |
j-invariant |
L |
2.132577267969 |
L(r)(E,1)/r! |
Ω |
0.118476514888 |
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 |
74256c1 111384z1 |
Quadratic twists by: -4 -3 |