Atkin-Lehner |
5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52345g |
Isogeny class |
Conductor |
52345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-129611402155 = -1 · 5 · 197 · 29 |
Discriminant |
Eigenvalues |
0 0 5- 4 0 -3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-722,18862] |
[a1,a2,a3,a4,a6] |
j |
-884736/2755 |
j-invariant |
L |
1.8296905360235 |
L(r)(E,1)/r! |
Ω |
0.9148452681159 |
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 |
2755b1 |
Quadratic twists by: -19 |