Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cj |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1380188160 = 218 · 34 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7041,-229761] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2688:1] |
Generators of the group modulo torsion |
j |
147281603041/5265 |
j-invariant |
L |
5.5055601665905 |
L(r)(E,1)/r! |
Ω |
0.52117882230393 |
Real period |
R |
2.6409170571496 |
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 |
12480a1 3120r1 37440ex1 62400ep1 |
Quadratic twists by: -4 8 -3 5 |