Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57134u |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
8021664 |
Modular degree for the optimal curve |
Δ |
8.85931400951E+21 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-157678522,-762090845468] |
[a1,a2,a3,a4,a6] |
j |
1534832311490255611057/31363151429632 |
j-invariant |
L |
5.8794410229551 |
L(r)(E,1)/r! |
Ω |
0.042604645108004 |
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 |
57134p1 |
Quadratic twists by: -7 |