Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440y |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1079678160 = 24 · 38 · 5 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3455,77010] |
[a1,a2,a3,a4,a6] |
j |
285150133221376/67479885 |
j-invariant |
L |
3.0240492900953 |
L(r)(E,1)/r! |
Ω |
1.5120246450476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44880e1 67320h1 112200e1 |
Quadratic twists by: -4 -3 5 |