Atkin-Lehner |
2- 5- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22330d |
Isogeny class |
Conductor |
22330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-72942284800 = -1 · 212 · 52 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6802,218001] |
[a1,a2,a3,a4,a6] |
Generators |
[21:279:1] |
Generators of the group modulo torsion |
j |
-34799558650342641/72942284800 |
j-invariant |
L |
8.3027016097921 |
L(r)(E,1)/r! |
Ω |
1.0940048136927 |
Real period |
R |
0.31621972415305 |
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 |
111650g1 |
Quadratic twists by: 5 |