Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770r |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1211784288660 = 22 · 39 · 5 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-285219,58700785] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-143:1] |
Generators of the group modulo torsion |
j |
3519916805915669809/1662255540 |
j-invariant |
L |
4.1877909513122 |
L(r)(E,1)/r! |
Ω |
0.70603853440203 |
Real period |
R |
2.9656957426969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590q3 113850ef4 |
Quadratic twists by: -3 5 |