Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984co |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
17192388132864 = 220 · 39 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6512,-31296] |
[a1,a2,a3,a4,a6] |
j |
152186997697/85660416 |
j-invariant |
L |
1.1440479621138 |
L(r)(E,1)/r! |
Ω |
0.57202398106635 |
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 |
4998br1 119952fl1 39984cs1 |
Quadratic twists by: -4 -3 -7 |