Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bh |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
12480 = 26 · 3 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,1530] |
[a1,a2,a3,a4,a6] |
j |
30488290624/195 |
j-invariant |
L |
3.5690626026222 |
L(r)(E,1)/r! |
Ω |
3.5690626026222 |
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 |
12480o1 6240a3 37440bj1 62400a1 |
Quadratic twists by: -4 8 -3 5 |