Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480ba |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17686356480000 = 212 · 312 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42361,-3363865] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:75:1] |
Generators of the group modulo torsion |
j |
2052450196928704/4317958125 |
j-invariant |
L |
5.4984208056634 |
L(r)(E,1)/r! |
Ω |
0.33282201286617 |
Real period |
R |
1.376717032204 |
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 |
12480h2 6240y1 37440cp2 62400l2 |
Quadratic twists by: -4 8 -3 5 |