Atkin-Lehner |
3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5577b |
Isogeny class |
Conductor |
5577 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-44721963 = -1 · 37 · 112 · 132 |
Discriminant |
Eigenvalues |
0 3+ -2 3 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1629,25859] |
[a1,a2,a3,a4,a6] |
Generators |
[23:5:1] |
Generators of the group modulo torsion |
j |
-2830523957248/264627 |
j-invariant |
L |
2.4734067980804 |
L(r)(E,1)/r! |
Ω |
1.935709757424 |
Real period |
R |
0.63888885939491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89232cr1 16731i1 61347f1 5577e1 |
Quadratic twists by: -4 -3 -11 13 |