Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080eb |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
406574567424000 = 215 · 310 · 53 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52428,-4517552] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:265:1] |
Generators of the group modulo torsion |
j |
667169403272/17020125 |
j-invariant |
L |
5.960689512828 |
L(r)(E,1)/r! |
Ω |
0.31599811427212 |
Real period |
R |
4.7157635825455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998575295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ee2 59040o2 39360dc2 |
Quadratic twists by: -4 8 -3 |