Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928eu |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
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 |
[-176:3132:1] |
Generators of the group modulo torsion |
j |
462859546468/44558703 |
j-invariant |
L |
3.6290208912987 |
L(r)(E,1)/r! |
Ω |
0.4509329388541 |
Real period |
R |
1.0059757690239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bo3 29232i3 38976bh3 |
Quadratic twists by: -4 8 -3 |