Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408a |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-806887666368 = -1 · 26 · 37 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1143,46089] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:245:1] |
Generators of the group modulo torsion |
j |
-448000/2187 |
j-invariant |
L |
3.5461989489435 |
L(r)(E,1)/r! |
Ω |
0.77583117340158 |
Real period |
R |
1.5236128127358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9408u1 4704y1 28224v1 9408z1 |
Quadratic twists by: -4 8 -3 -7 |