Atkin-Lehner |
2- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13630j |
Isogeny class |
Conductor |
13630 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
7905400000 = 26 · 55 · 292 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -5 -7 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,3345] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:70:1] [-7:88:1] |
Generators of the group modulo torsion |
j |
23298085122481/7905400000 |
j-invariant |
L |
7.5837274635274 |
L(r)(E,1)/r! |
Ω |
1.2095603714524 |
Real period |
R |
0.10449702280977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109040t1 122670l1 68150f1 |
Quadratic twists by: -4 -3 5 |