Atkin-Lehner |
5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675t |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7142400 |
Modular degree for the optimal curve |
Δ |
8.4054793306748E+21 |
Discriminant |
Eigenvalues |
2 3 5- 7+ 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33769375,-75403379219] |
[a1,a2,a3,a4,a6] |
Generators |
[-45479430717618:-152859965854733:13515286968] |
Generators of the group modulo torsion |
j |
10902666957358993920000/21518027086527517 |
j-invariant |
L |
19.471530885801 |
L(r)(E,1)/r! |
Ω |
0.062635462991568 |
Real period |
R |
15.543535527488 |
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 |
38675n1 |
Quadratic twists by: 5 |