Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cx |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2313161330688 = 212 · 32 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12393,521847] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:252:1] |
Generators of the group modulo torsion |
j |
10648000/117 |
j-invariant |
L |
7.5012334859176 |
L(r)(E,1)/r! |
Ω |
0.82227056427983 |
Real period |
R |
4.5612927251551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448by2 16224b1 97344em2 2496z2 |
Quadratic twists by: -4 8 -3 13 |