Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16400r |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
275415040000000000 = 224 · 510 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8746675,9956603250] |
[a1,a2,a3,a4,a6] |
Generators |
[159314:63577962:1] |
Generators of the group modulo torsion |
j |
1156305808919628801/4303360000 |
j-invariant |
L |
5.4875193175902 |
L(r)(E,1)/r! |
Ω |
0.27118419305529 |
Real period |
R |
10.117697598384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2050a2 65600bw2 3280n2 |
Quadratic twists by: -4 8 5 |