Atkin-Lehner |
2+ 3- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89784f |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1262592 |
Modular degree for the optimal curve |
Δ |
336924521554176 = 28 · 39 · 292 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6439719,-6289968710] |
[a1,a2,a3,a4,a6] |
Generators |
[-547441779694443542:-2932867274599485:373652498033576] |
Generators of the group modulo torsion |
j |
158254828610787752272/1805365449 |
j-invariant |
L |
9.0687578232131 |
L(r)(E,1)/r! |
Ω |
0.094772606640134 |
Real period |
R |
23.922413209704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29928g1 |
Quadratic twists by: -3 |