Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1122m |
Isogeny class |
Conductor |
1122 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-2.0303219722983E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16594408,-26021295520] |
[a1,a2,a3,a4,a6] |
j |
-505369473241574671219626625/20303219722982711328 |
j-invariant |
L |
3.3660501376679 |
L(r)(E,1)/r! |
Ω |
0.037400557085199 |
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 |
8976m4 35904a4 3366e4 28050n4 |
Quadratic twists by: -4 8 -3 5 |