Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320y |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-486828003162193920 = -1 · 217 · 33 · 5 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -1 -4 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-305403,73122858] |
[a1,a2,a3,a4,a6] |
Generators |
[-609:5766:1] |
Generators of the group modulo torsion |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
5.6764862347094 |
L(r)(E,1)/r! |
Ω |
0.28460333704326 |
Real period |
R |
0.71233054870613 |
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 |
2790p1 89280dy1 22320be1 111600dc1 |
Quadratic twists by: -4 8 -3 5 |