Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2736o |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-127302584573952 = -1 · 213 · 316 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12315,-755894] |
[a1,a2,a3,a4,a6] |
Generators |
[362:6498:1] |
Generators of the group modulo torsion |
j |
-69173457625/42633378 |
j-invariant |
L |
3.0819638415292 |
L(r)(E,1)/r! |
Ω |
0.22042426618748 |
Real period |
R |
3.4954906449682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
342b2 10944cj2 912h2 68400es2 |
Quadratic twists by: -4 8 -3 5 |