Atkin-Lehner |
2+ 3+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550o |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
62932802458500 = 22 · 34 · 53 · 133 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21340,-1146500] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1210:1] |
Generators of the group modulo torsion |
j |
8598619726766909/503462419668 |
j-invariant |
L |
2.6546198471134 |
L(r)(E,1)/r! |
Ω |
0.39644590895076 |
Real period |
R |
0.83700568831908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56550ci1 |
Quadratic twists by: 5 |