Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800bg |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1152000 = 210 · 32 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,123] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] |
Generators of the group modulo torsion |
j |
131072/9 |
j-invariant |
L |
4.1511479826966 |
L(r)(E,1)/r! |
Ω |
2.6919250827016 |
Real period |
R |
0.77103705622642 |
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 |
4800by1 300d1 14400co1 4800o1 |
Quadratic twists by: -4 8 -3 5 |