Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566o |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
2768580269056 = 210 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3 3 7- -4 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18801,-984287] |
[a1,a2,a3,a4,a6] |
j |
18212205591/68608 |
j-invariant |
L |
8.1561370653809 |
L(r)(E,1)/r! |
Ω |
0.40780685326904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528bj1 59094bd1 6566p1 |
Quadratic twists by: -4 -3 -7 |