Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16400a |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3800083392800000000 = -1 · 211 · 58 · 416 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -4 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-547675,-182025750] |
[a1,a2,a3,a4,a6] |
Generators |
[123428465:12397510050:12167] |
Generators of the group modulo torsion |
j |
-567730837600722/118752606025 |
j-invariant |
L |
4.5940235509391 |
L(r)(E,1)/r! |
Ω |
0.086774749285012 |
Real period |
R |
13.235484944618 |
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 |
8200g2 65600bd2 3280a2 |
Quadratic twists by: -4 8 5 |