Atkin-Lehner |
7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36421b |
Isogeny class |
Conductor |
36421 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
213632418752291 = 72 · 119 · 432 |
Discriminant |
Eigenvalues |
-1 2 2 7+ 11+ 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-349027,-79508714] |
[a1,a2,a3,a4,a6] |
j |
1994190746003/90601 |
j-invariant |
L |
3.5355621923057 |
L(r)(E,1)/r! |
Ω |
0.19642012179545 |
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 |
36421d2 |
Quadratic twists by: -11 |