Atkin-Lehner |
2- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
86336l |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
-1761348908220416 = -1 · 236 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 0 -2 2 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207436,36420240] |
[a1,a2,a3,a4,a6] |
Generators |
[15951:295849:27] |
Generators of the group modulo torsion |
j |
-3765617279085033/6719012864 |
j-invariant |
L |
6.5688762343931 |
L(r)(E,1)/r! |
Ω |
0.47126833577469 |
Real period |
R |
6.9693587833567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86336f1 21584e1 |
Quadratic twists by: -4 8 |