Atkin-Lehner |
2- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21476g |
Isogeny class |
Conductor |
21476 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6878463981905152 = -1 · 28 · 72 · 13 · 596 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-479148,-127881548] |
[a1,a2,a3,a4,a6] |
j |
-47521888646222338000/26868999929317 |
j-invariant |
L |
0.81654447614794 |
L(r)(E,1)/r! |
Ω |
0.090727164016438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85904o4 |
Quadratic twists by: -4 |