Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44200d |
Isogeny class |
Conductor |
44200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
24044800 = 28 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,77] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] [-4:17:1] |
Generators of the group modulo torsion |
j |
6814720/3757 |
j-invariant |
L |
6.822835331162 |
L(r)(E,1)/r! |
Ω |
1.8504028584728 |
Real period |
R |
0.46090202060067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88400e1 44200r1 |
Quadratic twists by: -4 5 |