Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480j |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-13498368000 = -1 · 214 · 3 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-885,-11283] |
[a1,a2,a3,a4,a6] |
j |
-4684079104/823875 |
j-invariant |
L |
1.3003782553864 |
L(r)(E,1)/r! |
Ω |
0.43345941846215 |
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 |
12480cw2 780d2 37440be2 62400cu2 |
Quadratic twists by: -4 8 -3 5 |