Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350p |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1006020000000 = 28 · 37 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2817,-30659] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:148:1] |
Generators of the group modulo torsion |
j |
217081801/88320 |
j-invariant |
L |
3.1852940205851 |
L(r)(E,1)/r! |
Ω |
0.67901014645676 |
Real period |
R |
2.3455422847558 |
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 |
82800cx1 3450n1 2070n1 |
Quadratic twists by: -4 -3 5 |