Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52560p |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3020852361600000000 = 213 · 311 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-510123,-112576678] |
[a1,a2,a3,a4,a6] |
Generators |
[2074:88038:1] |
Generators of the group modulo torsion |
j |
4916555557378921/1011677343750 |
j-invariant |
L |
6.6229246513976 |
L(r)(E,1)/r! |
Ω |
0.18122611822889 |
Real period |
R |
4.5681361467649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6570s2 17520n2 |
Quadratic twists by: -4 -3 |