Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2166b |
Isogeny class |
Conductor |
2166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-99048139655112 = -1 · 23 · 36 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11545,-31779] |
[a1,a2,a3,a4,a6] |
j |
3616805375/2105352 |
j-invariant |
L |
0.70796486198683 |
L(r)(E,1)/r! |
Ω |
0.35398243099341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17328be2 69312bo2 6498v2 54150cr2 |
Quadratic twists by: -4 8 -3 5 |