Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cj |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7266690662400 = 218 · 38 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7361,-208065] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:156:1] |
Generators of the group modulo torsion |
j |
168288035761/27720225 |
j-invariant |
L |
5.5055601665905 |
L(r)(E,1)/r! |
Ω |
0.52117882230393 |
Real period |
R |
1.3204585285748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480a2 3120r2 37440ex2 62400ep2 |
Quadratic twists by: -4 8 -3 5 |