Atkin-Lehner |
3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5655g |
Isogeny class |
Conductor |
5655 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-50946308521875 = -1 · 39 · 55 · 134 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- -2 1 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-57335,5276264] |
[a1,a2,a3,a4,a6] |
Generators |
[586:-13163:1] |
Generators of the group modulo torsion |
j |
-20844464253240180736/50946308521875 |
j-invariant |
L |
3.9364461699643 |
L(r)(E,1)/r! |
Ω |
0.63450557030536 |
Real period |
R |
0.034466435618786 |
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 |
90480bo1 16965h1 28275b1 73515g1 |
Quadratic twists by: -4 -3 5 13 |