Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566h |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
96389300224 = 222 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ -3 1 7- 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63394,-6127724] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:76:1] |
Generators of the group modulo torsion |
j |
82144390611546927/281018368 |
j-invariant |
L |
1.9469612696813 |
L(r)(E,1)/r! |
Ω |
0.30087581786375 |
Real period |
R |
1.6177448918169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528be1 59094bz1 6566g1 |
Quadratic twists by: -4 -3 -7 |