Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
2880x |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2264924160 = -1 · 224 · 33 · 5 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,-4784] |
[a1,a2,a3,a4,a6] |
Generators |
[80:684:1] |
Generators of the group modulo torsion |
j |
-1860867/320 |
j-invariant |
L |
3.3056464506835 |
L(r)(E,1)/r! |
Ω |
0.50213220496667 |
Real period |
R |
3.2916096776773 |
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 |
2880g1 720f1 2880v3 14400cy1 |
Quadratic twists by: -4 8 -3 5 |