Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218l |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-2005397909271301248 = -1 · 27 · 314 · 116 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-154459,-72092503] |
[a1,a2,a3,a4,a6] |
Generators |
[655:10078:1] |
Generators of the group modulo torsion |
j |
-230042158153417/1131994839168 |
j-invariant |
L |
4.8660832636536 |
L(r)(E,1)/r! |
Ω |
0.10879187614898 |
Real period |
R |
1.597441777267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93654n2 258b2 |
Quadratic twists by: -3 -11 |