Atkin-Lehner |
2- 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722v |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
-1.160158305631E+19 |
Discriminant |
Eigenvalues |
2- -1 3 7- 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,103291,163420683] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:37884:1] |
Generators of the group modulo torsion |
j |
1035911502295487/98611828883456 |
j-invariant |
L |
10.107012341401 |
L(r)(E,1)/r! |
Ω |
0.1734693790328 |
Real period |
R |
0.38331550280596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8246e1 |
Quadratic twists by: -7 |