Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bc |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49602776466375000 = 23 · 313 · 56 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-356918967,-2595300340059] |
[a1,a2,a3,a4,a6] |
j |
441453577446719855661097/4354701912 |
j-invariant |
L |
0.55574697406789 |
L(r)(E,1)/r! |
Ω |
0.034734187775022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050dm4 3366m3 |
Quadratic twists by: -3 5 |