Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230z |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
190 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-7965410918400000 = -1 · 219 · 39 · 55 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -5 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16468,-4220369] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2069:1] |
Generators of the group modulo torsion |
j |
25094567676933/404684800000 |
j-invariant |
L |
8.6969965627898 |
L(r)(E,1)/r! |
Ω |
0.20279897982537 |
Real period |
R |
0.22570954824015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22230a1 111150e1 |
Quadratic twists by: -3 5 |