Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2112m |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5757075456 = -1 · 217 · 3 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,351,2751] |
[a1,a2,a3,a4,a6] |
j |
36382894/43923 |
j-invariant |
L |
1.8059425048741 |
L(r)(E,1)/r! |
Ω |
0.90297125243705 |
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 |
2112w4 264b4 6336z4 52800c3 |
Quadratic twists by: -4 8 -3 5 |