Atkin-Lehner |
2- 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2880v |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-3538944000 = -1 · 220 · 33 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,372,-752] |
[a1,a2,a3,a4,a6] |
j |
804357/500 |
j-invariant |
L |
1.6211924423204 |
L(r)(E,1)/r! |
Ω |
0.81059622116018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2880c1 720g1 2880x3 14400cx1 |
Quadratic twists by: -4 8 -3 5 |