Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932c |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
18270122137344 = 28 · 39 · 73 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543591,154260990] |
[a1,a2,a3,a4,a6] |
Generators |
[427:46:1] |
Generators of the group modulo torsion |
j |
3525406715219184/3625853 |
j-invariant |
L |
4.6030209024483 |
L(r)(E,1)/r! |
Ω |
0.57912281474544 |
Real period |
R |
2.6494212635436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85932e2 |
Quadratic twists by: -3 |