Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2880z |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
699840 = 26 · 37 · 5 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,952] |
[a1,a2,a3,a4,a6] |
Generators |
[12:22:1] |
Generators of the group modulo torsion |
j |
14526784/15 |
j-invariant |
L |
3.091784410267 |
L(r)(E,1)/r! |
Ω |
2.8475259572089 |
Real period |
R |
2.171558368021 |
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 |
2880y1 1440k3 960n1 14400dr1 |
Quadratic twists by: -4 8 -3 5 |