Atkin-Lehner |
2- 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064x |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23181889536 = 212 · 32 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1032,10800] |
[a1,a2,a3,a4,a6] |
j |
29704593673/5659641 |
j-invariant |
L |
2.2825395234221 |
L(r)(E,1)/r! |
Ω |
1.141269761735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2379b2 114192cc2 |
Quadratic twists by: -4 -3 |