Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cy |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9028938195834765312 = -1 · 220 · 3 · 132 · 198 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,518463,16101183] |
[a1,a2,a3,a4,a6] |
Generators |
[76400312359194112907074:-14390507427035055504918675:2154391327974853421] |
Generators of the group modulo torsion |
j |
58794439975721423/34442665847148 |
j-invariant |
L |
9.1726332003984 |
L(r)(E,1)/r! |
Ω |
0.14008510293037 |
Real period |
R |
32.739502661334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424n5 11856z6 |
Quadratic twists by: -4 8 |