Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bl |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15974400000000 = 220 · 3 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54081,-4818975] |
[a1,a2,a3,a4,a6] |
j |
66730743078481/60937500 |
j-invariant |
L |
1.2523378529051 |
L(r)(E,1)/r! |
Ω |
0.31308446322627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480u4 3120z3 37440ey4 62400gy4 |
Quadratic twists by: -4 8 -3 5 |