Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400bn |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1006020000000000 = -1 · 211 · 37 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46875,4193750] |
[a1,a2,a3,a4,a6] |
Generators |
[154:792:1] |
Generators of the group modulo torsion |
j |
-781250/69 |
j-invariant |
L |
7.1673735590504 |
L(r)(E,1)/r! |
Ω |
0.48281830523823 |
Real period |
R |
3.7112167668902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800bn1 13800e1 41400z1 |
Quadratic twists by: -4 -3 5 |