Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4392c |
Isogeny class |
Conductor |
4392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
158775107100742656 = 210 · 326 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188859,-25108090] |
[a1,a2,a3,a4,a6] |
Generators |
[-376181:3265560:2197] |
Generators of the group modulo torsion |
j |
997951153588708/212693848461 |
j-invariant |
L |
4.1170395272662 |
L(r)(E,1)/r! |
Ω |
0.2324717053897 |
Real period |
R |
8.8549260658725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8784d3 35136n3 1464f3 109800br3 |
Quadratic twists by: -4 8 -3 5 |