Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14760p |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
61977830400 = 210 · 310 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10083,389518] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:720:1] |
Generators of the group modulo torsion |
j |
151867739524/83025 |
j-invariant |
L |
5.2740297583117 |
L(r)(E,1)/r! |
Ω |
1.0933791576582 |
Real period |
R |
2.4118027682216 |
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 |
29520i1 118080cb1 4920d1 73800q1 |
Quadratic twists by: -4 8 -3 5 |