Atkin-Lehner |
2- 31+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8308a |
Isogeny class |
Conductor |
8308 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-2226544 = -1 · 24 · 31 · 672 |
Discriminant |
Eigenvalues |
2- 2 3 1 4 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34,117] |
[a1,a2,a3,a4,a6] |
j |
-279738112/139159 |
j-invariant |
L |
4.8421297033849 |
L(r)(E,1)/r! |
Ω |
2.4210648516925 |
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 |
33232k1 74772a1 |
Quadratic twists by: -4 -3 |