Atkin-Lehner |
2+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
19856b |
Isogeny class |
Conductor |
19856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
317696 = 28 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 2 2 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-412,3360] |
[a1,a2,a3,a4,a6] |
Generators |
[-1380:10032:125] |
Generators of the group modulo torsion |
j |
30285104848/1241 |
j-invariant |
L |
8.2769881734937 |
L(r)(E,1)/r! |
Ω |
2.8682601350192 |
Real period |
R |
5.7714347959157 |
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 |
9928b1 79424p1 |
Quadratic twists by: -4 8 |