Atkin-Lehner |
2- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87412c |
Isogeny class |
Conductor |
87412 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-205508509882624 = -1 · 28 · 132 · 416 |
Discriminant |
Eigenvalues |
2- 0 2 2 2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1681,-689210] |
[a1,a2,a3,a4,a6] |
Generators |
[656567668452:17787007294405:895841344] |
Generators of the group modulo torsion |
j |
432/169 |
j-invariant |
L |
8.8196766215992 |
L(r)(E,1)/r! |
Ω |
0.26408458661568 |
Real period |
R |
16.698582713829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52a1 |
Quadratic twists by: 41 |