Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144q |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1073491519015222272 = -1 · 210 · 318 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,109221,-47873882] |
[a1,a2,a3,a4,a6] |
Generators |
[233303660950:-1211180342049:857375000] |
Generators of the group modulo torsion |
j |
1640689628/12223143 |
j-invariant |
L |
8.603305696197 |
L(r)(E,1)/r! |
Ω |
0.13727545499212 |
Real period |
R |
15.667960629134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048v3 1656a4 |
Quadratic twists by: -3 -7 |