Atkin-Lehner |
2- 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550ci |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
983325038414062500 = 22 · 34 · 59 · 133 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-533513,-142245483] |
[a1,a2,a3,a4,a6] |
j |
8598619726766909/503462419668 |
j-invariant |
L |
8.5102080182091 |
L(r)(E,1)/r! |
Ω |
0.17729600036312 |
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 |
56550o1 |
Quadratic twists by: 5 |