Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264i |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-157810688 = -1 · 219 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ -3 -2 7+ 3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,-656] |
[a1,a2,a3,a4,a6] |
Generators |
[14:32:1] |
Generators of the group modulo torsion |
j |
-185193/602 |
j-invariant |
L |
2.2715746574268 |
L(r)(E,1)/r! |
Ω |
0.74472033848861 |
Real period |
R |
0.76255962810044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19264v1 602c1 |
Quadratic twists by: -4 8 |