Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6560l |
Isogeny class |
Conductor |
6560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4303360000 = -1 · 212 · 54 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1361,19135] |
[a1,a2,a3,a4,a6] |
Generators |
[7:100:1] |
Generators of the group modulo torsion |
j |
-68117264704/1050625 |
j-invariant |
L |
2.88246414771 |
L(r)(E,1)/r! |
Ω |
1.3861169072056 |
Real period |
R |
0.51988113930466 |
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 |
6560j2 13120bk1 59040p2 32800c2 |
Quadratic twists by: -4 8 -3 5 |