Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46644r |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
14409067455744 = 28 · 3 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -1 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11717,448839] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3042:1] |
Generators of the group modulo torsion |
j |
851968/69 |
j-invariant |
L |
6.9197957969807 |
L(r)(E,1)/r! |
Ω |
0.68691558519459 |
Real period |
R |
1.1193023076429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46644q1 |
Quadratic twists by: 13 |