Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360g |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.8724781145749E+21 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8935300,9948818448] |
[a1,a2,a3,a4,a6] |
j |
308184796841572541563216/11220617635058055125 |
j-invariant |
L |
0.85185462727566 |
L(r)(E,1)/r! |
Ω |
0.14197577121261 |
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 |
16720p2 66880q2 75240bf2 41800p2 |
Quadratic twists by: -4 8 -3 5 |