Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408cq |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-5950381473792 = -1 · 214 · 32 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2287,110319] |
[a1,a2,a3,a4,a6] |
j |
2000/9 |
j-invariant |
L |
2.1687867702122 |
L(r)(E,1)/r! |
Ω |
0.54219669255304 |
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 |
9408e1 2352b1 28224fb1 9408bu1 |
Quadratic twists by: -4 8 -3 -7 |