Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150u |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.7272460893293E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58525617,172346852791] |
[a1,a2,a3,a4,a6] |
j |
420405041843139510639/706796295458 |
j-invariant |
L |
0.70206131385176 |
L(r)(E,1)/r! |
Ω |
0.17551531425403 |
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 |
84150eo2 84150en2 |
Quadratic twists by: -3 5 |