Atkin-Lehner |
2- 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592z |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
982981768108032 = 211 · 32 · 78 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3553184,-2579135328] |
[a1,a2,a3,a4,a6] |
Generators |
[170404:-5294205:64] |
Generators of the group modulo torsion |
j |
2422406234100405010754/479971566459 |
j-invariant |
L |
5.7719754577735 |
L(r)(E,1)/r! |
Ω |
0.10996263171973 |
Real period |
R |
6.5612919674379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184n6 |
Quadratic twists by: -4 |