Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400bp |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
167670000000000 = 210 · 36 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 5 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46875,-3856250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1022:1737:8] |
Generators of the group modulo torsion |
j |
1562500/23 |
j-invariant |
L |
6.2668699377529 |
L(r)(E,1)/r! |
Ω |
0.32475169634198 |
Real period |
R |
4.824355044443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800bp1 4600f1 41400bb1 |
Quadratic twists by: -4 -3 5 |