Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360br |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3569378918400000000 = 226 · 34 · 58 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-394881,-29188575] |
[a1,a2,a3,a4,a6] |
Generators |
[1802700417:-46804680000:1685159] |
Generators of the group modulo torsion |
j |
25976677550021281/13616100000000 |
j-invariant |
L |
4.7525752537952 |
L(r)(E,1)/r! |
Ω |
0.20186329685061 |
Real period |
R |
11.771766655811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360bb2 9840z2 118080fa2 |
Quadratic twists by: -4 8 -3 |