Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28272k |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2543735595073536 = 218 · 312 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96232,-11263180] |
[a1,a2,a3,a4,a6] |
j |
24061727981584873/621029198016 |
j-invariant |
L |
3.2578745460391 |
L(r)(E,1)/r! |
Ω |
0.27148954550322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3534a2 113088w2 84816r2 |
Quadratic twists by: -4 8 -3 |