Atkin-Lehner |
2- 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32568f |
Isogeny class |
Conductor |
32568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-184465152 = -1 · 28 · 32 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-228,-1404] |
[a1,a2,a3,a4,a6] |
j |
-5142706000/720567 |
j-invariant |
L |
2.4373766158226 |
L(r)(E,1)/r! |
Ω |
0.60934415395367 |
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 |
65136c1 97704b1 |
Quadratic twists by: -4 -3 |