Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bj |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22605161867624448 = 214 · 314 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94044,8419952] |
[a1,a2,a3,a4,a6] |
Generators |
[-344:252:1] |
Generators of the group modulo torsion |
j |
7701397204048/1892605743 |
j-invariant |
L |
6.3535323373015 |
L(r)(E,1)/r! |
Ω |
0.35733926994762 |
Real period |
R |
4.4450280424053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928eq2 7308c2 38976c2 |
Quadratic twists by: -4 8 -3 |