Atkin-Lehner |
3+ 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
11571c |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
312417 = 34 · 7 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6509,-204838] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1988:1] |
Generators of the group modulo torsion |
j |
30497953426886737/312417 |
j-invariant |
L |
1.4393820263104 |
L(r)(E,1)/r! |
Ω |
0.5315212590917 |
Real period |
R |
5.4160844996874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34713e1 80997m1 |
Quadratic twists by: -3 -7 |