Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470c |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-22819289220 = -1 · 22 · 39 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3795,-89335] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1309:1] |
Generators of the group modulo torsion |
j |
-1817378667/6860 |
j-invariant |
L |
3.8301727348745 |
L(r)(E,1)/r! |
Ω |
0.30406268411521 |
Real period |
R |
3.1491637774898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999249819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470dq1 106470du2 |
Quadratic twists by: -3 13 |