Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2400j |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-1080000000000 = -1 · 212 · 33 · 510 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 4 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1667,-42037] |
[a1,a2,a3,a4,a6] |
j |
12800/27 |
j-invariant |
L |
2.7229573156769 |
L(r)(E,1)/r! |
Ω |
0.45382621927948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2400s1 4800d1 7200bi1 2400x1 |
Quadratic twists by: -4 8 -3 5 |