Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6080u |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-57760000000000 = -1 · 214 · 510 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3535,-357775] |
[a1,a2,a3,a4,a6] |
Generators |
[505:11400:1] |
Generators of the group modulo torsion |
j |
298091207216/3525390625 |
j-invariant |
L |
5.3881975874279 |
L(r)(E,1)/r! |
Ω |
0.30783247925196 |
Real period |
R |
0.87518341152976 |
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 |
6080j2 1520i2 54720do2 30400bi2 |
Quadratic twists by: -4 8 -3 5 |