Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bp |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-1688138794470998016 = -1 · 227 · 313 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 -5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,185568,54353664] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:7168:1] |
Generators of the group modulo torsion |
j |
503009937352889/1201583849472 |
j-invariant |
L |
2.1698304657604 |
L(r)(E,1)/r! |
Ω |
0.18533726989531 |
Real period |
R |
1.4634337085645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762bn1 54096cw1 |
Quadratic twists by: -4 -7 |