Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480v |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1061181388800000 = -1 · 214 · 313 · 55 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -1 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,779,-1567021] |
[a1,a2,a3,a4,a6] |
j |
3186827264/64769371875 |
j-invariant |
L |
2.9467583628394 |
L(r)(E,1)/r! |
Ω |
0.22667372021842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12480bo1 780b1 37440cf1 62400bc1 |
Quadratic twists by: -4 8 -3 5 |