Atkin-Lehner |
2- 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422w |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
368 |
Product of Tamagawa factors cp |
deg |
28439040 |
Modular degree for the optimal curve |
Δ |
3.0501286944997E+28 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1602836715,23225784300081] |
[a1,a2,a3,a4,a6] |
j |
455398460326051630614770211002161/30501286944996511890026790912 |
j-invariant |
L |
3.353702901245 |
L(r)(E,1)/r! |
Ω |
0.036453292404837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266s1 114954cc1 |
Quadratic twists by: -3 -7 |