Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928de |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
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 |
[-18:24:1] [37:119:1] |
Generators of the group modulo torsion |
j |
59319000/5887 |
j-invariant |
L |
12.112911290199 |
L(r)(E,1)/r! |
Ω |
0.90916290626259 |
Real period |
R |
3.3307868166338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928cu2 58464e2 116928cz2 |
Quadratic twists by: -4 8 -3 |