Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680do |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
207852480 = 26 · 310 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,-6896] |
[a1,a2,a3,a4,a6] |
j |
768575296/4455 |
j-invariant |
L |
3.7314013189325 |
L(r)(E,1)/r! |
Ω |
0.93285032973307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680ef1 15840z2 10560cf1 |
Quadratic twists by: -4 8 -3 |