Atkin-Lehner |
2- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19780d |
Isogeny class |
Conductor |
19780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
-6329600 = -1 · 28 · 52 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -3 5+ 4 3 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,118] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
2122416/24725 |
j-invariant |
L |
3.3009070714814 |
L(r)(E,1)/r! |
Ω |
1.756752313894 |
Real period |
R |
0.31316377057206 |
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 |
79120n1 98900h1 |
Quadratic twists by: -4 5 |