Atkin-Lehner |
3+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
6177a |
Isogeny class |
Conductor |
6177 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4067573031 = -1 · 34 · 294 · 71 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,221,-2704] |
[a1,a2,a3,a4,a6] |
Generators |
[16:64:1] |
Generators of the group modulo torsion |
j |
1193377118543/4067573031 |
j-invariant |
L |
1.13957352791 |
L(r)(E,1)/r! |
Ω |
0.70828048503564 |
Real period |
R |
0.8044648638404 |
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 |
98832q3 18531c4 |
Quadratic twists by: -4 -3 |