Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bz |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-7178237968384 = -1 · 216 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ -3 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,147617] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:441:1] |
Generators of the group modulo torsion |
j |
-9604/19 |
j-invariant |
L |
7.5090556954875 |
L(r)(E,1)/r! |
Ω |
0.6637344152889 |
Real period |
R |
1.8855573159753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584i1 14896f1 59584cq1 |
Quadratic twists by: -4 8 -7 |