Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cz |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
26956800 = 210 · 34 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445,-3757] |
[a1,a2,a3,a4,a6] |
j |
9538484224/26325 |
j-invariant |
L |
4.1577683308819 |
L(r)(E,1)/r! |
Ω |
1.0394420827205 |
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 |
12480m1 3120c1 37440dz1 62400fg1 |
Quadratic twists by: -4 8 -3 5 |