Atkin-Lehner |
2- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63916a |
Isogeny class |
Conductor |
63916 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
391500 |
Modular degree for the optimal curve |
Δ |
-54899042343991984 = -1 · 24 · 193 · 298 |
Discriminant |
Eigenvalues |
2- 0 3 1 -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97556,-16267463] |
[a1,a2,a3,a4,a6] |
Generators |
[439002:8728739:729] |
Generators of the group modulo torsion |
j |
-12828672/6859 |
j-invariant |
L |
7.2606126931104 |
L(r)(E,1)/r! |
Ω |
0.13177109915711 |
Real period |
R |
6.1222434119229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63916d1 |
Quadratic twists by: 29 |