Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112h |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
963477504 = 215 · 35 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1254529,541258849] |
[a1,a2,a3,a4,a6] |
j |
6663712298552914184/29403 |
j-invariant |
L |
1.5009222044407 |
L(r)(E,1)/r! |
Ω |
0.75046110222034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2112n3 1056d3 6336n3 52800dh4 |
Quadratic twists by: -4 8 -3 5 |