Atkin-Lehner |
2+ 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116560d |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
-57813760 = -1 · 28 · 5 · 312 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -2 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,341] |
[a1,a2,a3,a4,a6] |
j |
24974336/225835 |
j-invariant |
L |
2.9021825630163 |
L(r)(E,1)/r! |
Ω |
1.4510910367526 |
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 |
58280a1 |
Quadratic twists by: -4 |