Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
56316f |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-2.0552134490357E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1428597,-691995231] |
[a1,a2,a3,a4,a6] |
Generators |
[173988:7970157:64] |
Generators of the group modulo torsion |
j |
-26772667629568/1706457051 |
j-invariant |
L |
3.4838998921785 |
L(r)(E,1)/r! |
Ω |
0.068793029343199 |
Real period |
R |
6.3304013601624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2964f1 |
Quadratic twists by: -19 |