Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fb |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-374308606586880 = -1 · 212 · 312 · 5 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20352,-1454416] |
[a1,a2,a3,a4,a6] |
j |
-312217698304/125355195 |
j-invariant |
L |
0.39195692735351 |
L(r)(E,1)/r! |
Ω |
0.19597845785864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5355o1 28560cm1 |
Quadratic twists by: -4 -3 |