Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480cs |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-3993600 = -1 · 212 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39,39] |
[a1,a2,a3,a4,a6] |
j |
1560896/975 |
j-invariant |
L |
3.0658659800081 |
L(r)(E,1)/r! |
Ω |
1.5329329900041 |
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 |
12480bw1 6240g1 37440fr1 62400eg1 |
Quadratic twists by: -4 8 -3 5 |