Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cv |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1455552 = 26 · 32 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,-10] |
[a1,a2,a3,a4,a6] |
j |
39304000/22743 |
j-invariant |
L |
2.2699469715088 |
L(r)(E,1)/r! |
Ω |
2.2699469715088 |
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 |
25536cf1 12768a2 76608ed1 |
Quadratic twists by: -4 8 -3 |