Atkin-Lehner |
2+ 3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256i |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
12549264 = 24 · 3 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 0 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260,-1521] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:3:1] |
Generators of the group modulo torsion |
j |
121953162496/784329 |
j-invariant |
L |
6.1670943975214 |
L(r)(E,1)/r! |
Ω |
1.1890096613845 |
Real period |
R |
1.7289162564742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128p1 |
Quadratic twists by: -4 |