Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584l |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-747421696 = -1 · 214 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ 1 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,784] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:13:1] [0:28:1] |
Generators of the group modulo torsion |
j |
21168/19 |
j-invariant |
L |
8.1326215650541 |
L(r)(E,1)/r! |
Ω |
1.0435813872853 |
Real period |
R |
1.298832025967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bp1 7448a1 59584r1 |
Quadratic twists by: -4 8 -7 |