Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280u |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
134432725401600 = 219 · 3 · 52 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53665,4770337] |
[a1,a2,a3,a4,a6] |
Generators |
[584:13125:1] |
Generators of the group modulo torsion |
j |
65202655558249/512820150 |
j-invariant |
L |
6.5073647335041 |
L(r)(E,1)/r! |
Ω |
0.58672788397663 |
Real period |
R |
5.5454708317279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41280dk4 1290d3 123840cd4 |
Quadratic twists by: -4 8 -3 |