Atkin-Lehner |
3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2091a |
Isogeny class |
Conductor |
2091 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4372281 = -1 · 32 · 172 · 412 |
Discriminant |
Eigenvalues |
1 3- -2 4 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,33,-65] |
[a1,a2,a3,a4,a6] |
j |
4149995543/4372281 |
j-invariant |
L |
2.6609505930306 |
L(r)(E,1)/r! |
Ω |
1.3304752965153 |
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 |
33456l2 6273b2 52275d2 102459j2 |
Quadratic twists by: -4 -3 5 -7 |