Atkin-Lehner |
67- |
Signs for the Atkin-Lehner involutions |
Class |
67a |
Isogeny class |
Conductor |
67 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5 |
Modular degree for the optimal curve |
Δ |
-67 = Prime discriminant |
Discriminant |
Eigenvalues |
2 -2 2 -2 -4 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12,-21] |
[a1,a2,a3,a4,a6] |
j |
-207474688/67 |
j-invariant |
L |
1.2737700365451 |
L(r)(E,1)/r! |
Ω |
1.2737700365451 |
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 |
1072a1 4288a1 603f1 1675c1 |
Quadratic twists by: -4 8 -3 5 |