Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880ba |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-84229912247040000 = -1 · 211 · 312 · 54 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93237,8654438] |
[a1,a2,a3,a4,a6] |
Generators |
[314:8300:1] |
Generators of the group modulo torsion |
j |
60038675812078/56416854375 |
j-invariant |
L |
4.2101526742001 |
L(r)(E,1)/r! |
Ω |
0.22359546934287 |
Real period |
R |
4.7073322712792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760bd2 15960a2 |
Quadratic twists by: -4 -3 |