Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298z |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-2859310083366 = -1 · 2 · 39 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1656,85806] |
[a1,a2,a3,a4,a6] |
Generators |
[69:510:1] |
Generators of the group modulo torsion |
j |
-389017/2214 |
j-invariant |
L |
2.9619757665559 |
L(r)(E,1)/r! |
Ω |
0.69543261783862 |
Real period |
R |
1.0647961030544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766bv1 738j1 |
Quadratic twists by: -3 -11 |