Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286w |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71140595918112 = 25 · 36 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76743,8192029] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:4003:1] |
Generators of the group modulo torsion |
j |
582810602977/829472 |
j-invariant |
L |
3.2362156910384 |
L(r)(E,1)/r! |
Ω |
0.61459789047156 |
Real period |
R |
1.3163955413821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254f2 2898d2 |
Quadratic twists by: -3 -7 |