Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480co |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
29797973397504000 = 215 · 316 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-910081,-334370881] |
[a1,a2,a3,a4,a6] |
Generators |
[-553:312:1] |
Generators of the group modulo torsion |
j |
2543984126301795848/909361981125 |
j-invariant |
L |
6.0038345841206 |
L(r)(E,1)/r! |
Ω |
0.15457484496716 |
Real period |
R |
1.2137798410448 |
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 |
12480bp4 6240z2 37440ff4 62400ff4 |
Quadratic twists by: -4 8 -3 5 |