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 |
38155329 = 32 · 292 · 712 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-134,-574] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] |
Generators of the group modulo torsion |
j |
266219984737/38155329 |
j-invariant |
L |
1.13957352791 |
L(r)(E,1)/r! |
Ω |
1.4165609700713 |
Real period |
R |
1.6089297276808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98832q2 18531c2 |
Quadratic twists by: -4 -3 |