Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408db |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-497403316666368 = -1 · 226 · 32 · 77 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12609,1199295] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
1.857704807384 |
L(r)(E,1)/r! |
Ω |
0.46442620184599 |
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 |
9408p1 2352o1 28224ft1 1344m1 |
Quadratic twists by: -4 8 -3 -7 |