Atkin-Lehner |
2+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186m |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-9.5095585148264E+28 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51247627071,-4465412334050670] |
[a1,a2,a3,a4,a6] |
j |
-69439008934071847697770911625/443627922970281771008 |
j-invariant |
L |
0.81276682180643 |
L(r)(E,1)/r! |
Ω |
0.0050170791469696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186q2 |
Quadratic twists by: -11 |