Atkin-Lehner |
2+ 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194a |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
157211578073088 = 218 · 33 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1387716,629561680] |
[a1,a2,a3,a4,a6] |
j |
10946162997569140431579/5822651039744 |
j-invariant |
L |
1.8910103678147 |
L(r)(E,1)/r! |
Ω |
0.47275259194667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40194ba1 |
Quadratic twists by: -3 |