Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680bs |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
903820943424960 = 26 · 313 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127227,17406956] |
[a1,a2,a3,a4,a6] |
j |
4881508724731456/19372019535 |
j-invariant |
L |
3.0022493873758 |
L(r)(E,1)/r! |
Ω |
0.50037489789637 |
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 |
31680bi1 15840c2 10560a1 |
Quadratic twists by: -4 8 -3 |