Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570s |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
737512783593750 = 2 · 311 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31883,1766981] |
[a1,a2,a3,a4,a6] |
Generators |
[46110:3475691:8] |
Generators of the group modulo torsion |
j |
4916555557378921/1011677343750 |
j-invariant |
L |
5.4994102810091 |
L(r)(E,1)/r! |
Ω |
0.4793961582117 |
Real period |
R |
5.7357679935564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560p2 2190f2 32850v2 |
Quadratic twists by: -4 -3 5 |