Atkin-Lehner |
2- 3+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
66456c |
Isogeny class |
Conductor |
66456 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
18950129362944 = 211 · 33 · 136 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6891,67910] |
[a1,a2,a3,a4,a6] |
Generators |
[-622:2925:8] |
Generators of the group modulo torsion |
j |
654450411942/342703439 |
j-invariant |
L |
6.3571444467483 |
L(r)(E,1)/r! |
Ω |
0.60383566505075 |
Real period |
R |
3.5093126683296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66456a2 |
Quadratic twists by: -3 |