Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6627f |
Isogeny class |
Conductor |
6627 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
81216 |
Modular degree for the optimal curve |
Δ |
30216522773774709 = 33 · 479 |
Discriminant |
Eigenvalues |
0 3- -3 1 3 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-484507,129375955] |
[a1,a2,a3,a4,a6] |
Generators |
[2945:155734:1] |
Generators of the group modulo torsion |
j |
11239424/27 |
j-invariant |
L |
3.267933756797 |
L(r)(E,1)/r! |
Ω |
0.37265016479248 |
Real period |
R |
1.4615735550154 |
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 |
106032bb1 19881f1 6627e1 |
Quadratic twists by: -4 -3 -47 |