Atkin-Lehner |
2+ 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370w |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
1.7380812458733E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-836919,216107433] |
[a1,a2,a3,a4,a6] |
Generators |
[-996:8301:1] |
Generators of the group modulo torsion |
j |
88929685837903249009/23841992398810500 |
j-invariant |
L |
5.1362974605057 |
L(r)(E,1)/r! |
Ω |
0.20443347529757 |
Real period |
R |
2.093711843189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14790t3 |
Quadratic twists by: -3 |