Atkin-Lehner |
2+ 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bu |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-8472596603737335300 = -1 · 22 · 310 · 52 · 78 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-408654,172505160] |
[a1,a2,a3,a4,a6] |
Generators |
[-609:14277:1] [-534:15702:1] |
Generators of the group modulo torsion |
j |
-10352948278397907169/11622217563425700 |
j-invariant |
L |
9.9228207821251 |
L(r)(E,1)/r! |
Ω |
0.21082202588867 |
Real period |
R |
0.73542635871199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999925901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270co3 |
Quadratic twists by: -3 |