Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470a |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-798233538375000 = -1 · 23 · 33 · 56 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12390,1248300] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:944:1] |
Generators of the group modulo torsion |
j |
1613964717/6125000 |
j-invariant |
L |
3.6738636470218 |
L(r)(E,1)/r! |
Ω |
0.3581005673079 |
Real period |
R |
2.5648267292748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470dn4 630h2 |
Quadratic twists by: -3 13 |