Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592cb |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
28133568 = 26 · 38 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-795,-8624] |
[a1,a2,a3,a4,a6] |
j |
1191016000/603 |
j-invariant |
L |
0.8991268553544 |
L(r)(E,1)/r! |
Ω |
0.89912685538152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bp1 19296l2 12864bk1 |
Quadratic twists by: -4 8 -3 |