Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928cu |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5208440832 = 215 · 33 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-780,7632] |
[a1,a2,a3,a4,a6] |
Generators |
[28:88:1] |
Generators of the group modulo torsion |
j |
59319000/5887 |
j-invariant |
L |
7.1283995886763 |
L(r)(E,1)/r! |
Ω |
1.3223840073604 |
Real period |
R |
2.6952834861054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928de2 58464a2 116928cq2 |
Quadratic twists by: -4 8 -3 |