Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810v |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-137413584000 = -1 · 27 · 38 · 53 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1080,11200] |
[a1,a2,a3,a4,a6] |
j |
191003460479/188496000 |
j-invariant |
L |
1.3637528762804 |
L(r)(E,1)/r! |
Ω |
0.68187630008974 |
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 |
39270ce1 |
Quadratic twists by: -3 |