Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9537l |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-6215399879931 = -1 · 34 · 11 · 178 |
Discriminant |
Eigenvalues |
0 3- 1 4 11- 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3275,-141067] |
[a1,a2,a3,a4,a6] |
j |
-557056/891 |
j-invariant |
L |
3.5866759485685 |
L(r)(E,1)/r! |
Ω |
0.29888966238071 |
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 |
28611k1 104907bj1 9537a1 |
Quadratic twists by: -3 -11 17 |