Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544dz |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-115127599104 = -1 · 214 · 310 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,996,-10960] |
[a1,a2,a3,a4,a6] |
j |
9148592/9639 |
j-invariant |
L |
2.2787300279129 |
L(r)(E,1)/r! |
Ω |
0.56968251075174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544cm1 17136g1 22848bu1 |
Quadratic twists by: -4 8 -3 |