Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800v |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1228800 = -1 · 214 · 3 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,3] |
[a1,a2,a3,a4,a6] |
j |
5120/3 |
j-invariant |
L |
1.6064263122694 |
L(r)(E,1)/r! |
Ω |
1.6064263122694 |
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 |
4800bl1 600b1 14400bn1 4800m1 |
Quadratic twists by: -4 8 -3 5 |