Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566p |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
23532544 = 210 · 73 · 67 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -4 -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-384,2979] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-215:1] [-3:65:1] |
Generators of the group modulo torsion |
j |
18212205591/68608 |
j-invariant |
L |
4.3359934704897 |
L(r)(E,1)/r! |
Ω |
2.1441756294326 |
Real period |
R |
0.10111096803293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528bg1 59094bb1 6566o1 |
Quadratic twists by: -4 -3 -7 |