Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760o |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-11904000000000000 = -1 · 219 · 3 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42655,3993057] |
[a1,a2,a3,a4,a6] |
j |
32740359775271/45410156250 |
j-invariant |
L |
3.257247749173 |
L(r)(E,1)/r! |
Ω |
0.27143731243099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29760cx3 930g4 89280bh3 |
Quadratic twists by: -4 8 -3 |