Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680ck |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8569561537658880 = 214 · 310 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61788,3887152] |
[a1,a2,a3,a4,a6] |
Generators |
[4829:335133:1] |
Generators of the group modulo torsion |
j |
2184181167184/717482205 |
j-invariant |
L |
5.6353251488557 |
L(r)(E,1)/r! |
Ω |
0.38079487059449 |
Real period |
R |
7.3994236582783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680y2 7920q2 10560cl2 |
Quadratic twists by: -4 8 -3 |