Atkin-Lehner |
2- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9548a |
Isogeny class |
Conductor |
9548 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
936 |
Modular degree for the optimal curve |
Δ |
-38192 = -1 · 24 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 1 4 7+ 11- 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,32] |
[a1,a2,a3,a4,a6] |
j |
-67108864/2387 |
j-invariant |
L |
3.6233919423864 |
L(r)(E,1)/r! |
Ω |
3.6233919423864 |
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 |
38192r1 85932x1 66836g1 105028e1 |
Quadratic twists by: -4 -3 -7 -11 |