Atkin-Lehner |
2- 3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
8484b |
Isogeny class |
Conductor |
8484 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2664 |
Modular degree for the optimal curve |
Δ |
167949264 = 24 · 3 · 73 · 1012 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-309,1896] |
[a1,a2,a3,a4,a6] |
j |
204589760512/10496829 |
j-invariant |
L |
0.89409050861794 |
L(r)(E,1)/r! |
Ω |
1.7881810172359 |
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 |
33936d1 25452a1 59388b1 |
Quadratic twists by: -4 -3 -7 |