Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218g |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7.1601355377878E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,967513,-177599446] |
[a1,a2,a3,a4,a6] |
Generators |
[582:23848:1] |
Generators of the group modulo torsion |
j |
56537769879658943/40417098467328 |
j-invariant |
L |
5.0785908609403 |
L(r)(E,1)/r! |
Ω |
0.10949516173346 |
Real period |
R |
3.8651562167518 |
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 |
93654bj2 2838f2 |
Quadratic twists by: -3 -11 |