Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bl |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
2715648 |
Modular degree for the optimal curve |
Δ |
-1.0566137275084E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127325,1563981507] |
[a1,a2,a3,a4,a6] |
Generators |
[-1133:15972:1] |
Generators of the group modulo torsion |
j |
-222929848528328704/1031849343269953659 |
j-invariant |
L |
9.184962438046 |
L(r)(E,1)/r! |
Ω |
0.12466435702269 |
Real period |
R |
0.47229188621677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592bu1 10824b1 |
Quadratic twists by: -4 8 |