Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600co |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
1324800 = 28 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,8] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
393040/207 |
j-invariant |
L |
5.8148572490381 |
L(r)(E,1)/r! |
Ω |
2.3808423149134 |
Real period |
R |
1.2211764745221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6900d1 110400fx1 82800eo1 27600ce1 |
Quadratic twists by: -4 8 -3 5 |