Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1827b |
Isogeny class |
Conductor |
1827 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1860960177652847607 = -1 · 312 · 7 · 298 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,112329,-64042160] |
[a1,a2,a3,a4,a6] |
Generators |
[296984417277290730:-11666643850166014315:203691874936472] |
Generators of the group modulo torsion |
j |
215015459663151503/2552757445339983 |
j-invariant |
L |
3.8123863657771 |
L(r)(E,1)/r! |
Ω |
0.12959843996245 |
Real period |
R |
29.416915565355 |
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 |
29232ba5 116928ck5 609b6 45675k5 |
Quadratic twists by: -4 8 -3 5 |