Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144q |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8467182763151616 = 28 · 312 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93639,-10101350] |
[a1,a2,a3,a4,a6] |
Generators |
[52850:12149550:1] |
Generators of the group modulo torsion |
j |
4135597648/385641 |
j-invariant |
L |
8.603305696197 |
L(r)(E,1)/r! |
Ω |
0.27455090998423 |
Real period |
R |
7.8339803145668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994717 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27048v2 1656a2 |
Quadratic twists by: -3 -7 |