Atkin-Lehner |
2- 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20748n |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
14819398094592 = 28 · 314 · 72 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63820,6181604] |
[a1,a2,a3,a4,a6] |
Generators |
[-289:756:1] [-100:3402:1] |
Generators of the group modulo torsion |
j |
112295137528082896/57888273807 |
j-invariant |
L |
7.2373439203818 |
L(r)(E,1)/r! |
Ω |
0.69214041355637 |
Real period |
R |
0.4979270362343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992bp2 62244y2 |
Quadratic twists by: -4 -3 |