Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080d |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1539714816640000 = 210 · 54 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29683,-557118] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1092:1] |
Generators of the group modulo torsion |
j |
2824536112738596/1503627750625 |
j-invariant |
L |
6.0194094896331 |
L(r)(E,1)/r! |
Ω |
0.38648096523144 |
Real period |
R |
1.2979098654862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974662 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40040f2 |
Quadratic twists by: -4 |