Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2880j |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-1166400 = -1 · 26 · 36 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,52] |
[a1,a2,a3,a4,a6] |
j |
-64/25 |
j-invariant |
L |
2.225649546989 |
L(r)(E,1)/r! |
Ω |
2.225649546989 |
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 |
2880k1 1440f2 320e1 14400bi1 |
Quadratic twists by: -4 8 -3 5 |