Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39039z |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
394516867788356313 = 3 · 7 · 116 · 139 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-185143,-5207944] |
[a1,a2,a3,a4,a6] |
Generators |
[47244:-1938326:27] |
Generators of the group modulo torsion |
j |
66184391125/37202781 |
j-invariant |
L |
4.8856279947402 |
L(r)(E,1)/r! |
Ω |
0.24761562440384 |
Real period |
R |
6.576897838471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117117bk2 39039s2 |
Quadratic twists by: -3 13 |