Atkin-Lehner |
2+ 3- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822k |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5719931504568599724 = 22 · 311 · 710 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-663948,-173386220] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:3488:1] |
Generators of the group modulo torsion |
j |
44401613569965312193/7846270925334156 |
j-invariant |
L |
2.39790079478 |
L(r)(E,1)/r! |
Ω |
0.16927569469177 |
Real period |
R |
1.770706653653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274y2 |
Quadratic twists by: -3 |