Atkin-Lehner |
2+ 3- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16728b |
Isogeny class |
Conductor |
16728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
-91537624792452096 = -1 · 210 · 33 · 17 · 417 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98112,-18789264] |
[a1,a2,a3,a4,a6] |
Generators |
[4188:270264:1] |
Generators of the group modulo torsion |
j |
-101998684008523012/89392211711379 |
j-invariant |
L |
5.1633036527718 |
L(r)(E,1)/r! |
Ω |
0.13010968458936 |
Real period |
R |
6.6140396198123 |
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 |
33456c1 50184y1 |
Quadratic twists by: -4 -3 |