Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566d |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-46373719506688 = -1 · 28 · 79 · 672 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122558,16548244] |
[a1,a2,a3,a4,a6] |
Generators |
[199:1:1] |
Generators of the group modulo torsion |
j |
-5045083293951/1149184 |
j-invariant |
L |
2.4287175803619 |
L(r)(E,1)/r! |
Ω |
0.62112476348186 |
Real period |
R |
1.9550964018462 |
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 |
52528y1 59094cb1 6566c1 |
Quadratic twists by: -4 -3 -7 |