Atkin-Lehner |
2+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67048a |
Isogeny class |
Conductor |
67048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-716789249024 = -1 · 210 · 176 · 29 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 3 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2216,-6176] |
[a1,a2,a3,a4,a6] |
j |
48668/29 |
j-invariant |
L |
2.1089273571711 |
L(r)(E,1)/r! |
Ω |
0.52723183934958 |
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 |
232a1 |
Quadratic twists by: 17 |