Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150cn |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.5257315405132E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1857042,-1080865634] |
[a1,a2,a3,a4,a6] |
j |
-62178675647294809/8362782148050 |
j-invariant |
L |
0.51346945947244 |
L(r)(E,1)/r! |
Ω |
0.064183681820466 |
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 |
28050bx2 16830cs2 |
Quadratic twists by: -3 5 |