Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560eh |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9679939043328000 = -1 · 221 · 36 · 53 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10668,4752592] |
[a1,a2,a3,a4,a6] |
Generators |
[293:5175:1] |
Generators of the group modulo torsion |
j |
-702595369/50653000 |
j-invariant |
L |
6.638904857673 |
L(r)(E,1)/r! |
Ω |
0.33718497291839 |
Real period |
R |
4.9223018333284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560bf2 26640ca2 11840bi2 |
Quadratic twists by: -4 8 -3 |