Atkin-Lehner |
5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675u |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
23011625 = 53 · 72 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ -2 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-403,3072] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:29:1] [-66:645:8] |
Generators of the group modulo torsion |
j |
57915683909/184093 |
j-invariant |
L |
4.043059372545 |
L(r)(E,1)/r! |
Ω |
2.1467965175175 |
Real period |
R |
0.94164941566502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38675x1 |
Quadratic twists by: 5 |