Atkin-Lehner |
2+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12784a |
Isogeny class |
Conductor |
12784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
38454272 = 210 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131,-494] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
242793828/37553 |
j-invariant |
L |
4.1634715995584 |
L(r)(E,1)/r! |
Ω |
1.4258614867171 |
Real period |
R |
1.4599845911907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6392b1 51136g1 115056k1 |
Quadratic twists by: -4 8 -3 |