Atkin-Lehner |
5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
128155c |
Isogeny class |
Conductor |
128155 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
-417532193875 = -1 · 53 · 196 · 71 |
Discriminant |
Eigenvalues |
0 2 5- -1 0 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1685,15506] |
[a1,a2,a3,a4,a6] |
j |
11239424/8875 |
j-invariant |
L |
1.822543226996 |
L(r)(E,1)/r! |
Ω |
0.60751462441194 |
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 |
355a1 |
Quadratic twists by: -19 |