Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bh |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-6777421875 = -1 · 36 · 57 · 7 · 17 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 2 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-3969] |
[a1,a2,a3,a4,a6] |
Generators |
[2770:51521:8] |
Generators of the group modulo torsion |
j |
-4096/595 |
j-invariant |
L |
10.781202582255 |
L(r)(E,1)/r! |
Ω |
0.5918012072096 |
Real period |
R |
4.5544020740891 |
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 |
2975a1 5355i1 |
Quadratic twists by: -3 5 |