Atkin-Lehner |
2+ 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12166b |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
195175202685002848 = 25 · 76 · 113 · 794 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 11+ 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-182560,-21158112] |
[a1,a2,a3,a4,a6] |
j |
672886680144628401369/195175202685002848 |
j-invariant |
L |
1.8887153627595 |
L(r)(E,1)/r! |
Ω |
0.23608942034493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97328bg2 109494ca2 85162h2 |
Quadratic twists by: -4 -3 -7 |