Atkin-Lehner |
11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87131c |
Isogeny class |
Conductor |
87131 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-80039333890560011 = -1 · 115 · 896 |
Discriminant |
Eigenvalues |
-2 1 1 2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-81850,-16352538] |
[a1,a2,a3,a4,a6] |
j |
-122023936/161051 |
j-invariant |
L |
0.67267962398376 |
L(r)(E,1)/r! |
Ω |
0.13453591718207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11a1 |
Quadratic twists by: 89 |