Atkin-Lehner |
3+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5655c |
Isogeny class |
Conductor |
5655 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
12299625 = 32 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,1820] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:24:1] [-7:63:1] |
Generators of the group modulo torsion |
j |
2839760855281/12299625 |
j-invariant |
L |
2.8765429178055 |
L(r)(E,1)/r! |
Ω |
2.2641807585449 |
Real period |
R |
0.42348546406899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bw1 16965e1 28275i1 73515a1 |
Quadratic twists by: -4 -3 5 13 |