Atkin-Lehner |
3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
66429b |
Isogeny class |
Conductor |
66429 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
177983418987 = 33 · 116 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1475,-7576] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:64:1] |
Generators of the group modulo torsion |
j |
7414875/3721 |
j-invariant |
L |
4.0452568287037 |
L(r)(E,1)/r! |
Ω |
0.81185325566861 |
Real period |
R |
1.2456859661675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66429a2 549a2 |
Quadratic twists by: -3 -11 |