Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bo |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2128825187500032 = 216 · 38 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58476,-4969424] |
[a1,a2,a3,a4,a6] |
Generators |
[350:4176:1] |
Generators of the group modulo torsion |
j |
462859546468/44558703 |
j-invariant |
L |
4.108559700031 |
L(r)(E,1)/r! |
Ω |
0.30891021146423 |
Real period |
R |
0.83126090561392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928eu3 14616h3 38976n3 |
Quadratic twists by: -4 8 -3 |