Atkin-Lehner |
2+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650f |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-3.0092621520063E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -5 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-833026,394008948] |
[a1,a2,a3,a4,a6] |
Generators |
[1082:-28104:1] [-632:26164:1] |
Generators of the group modulo torsion |
j |
-709731835729/334084000 |
j-invariant |
L |
4.7165125508167 |
L(r)(E,1)/r! |
Ω |
0.19523337636707 |
Real period |
R |
0.50329856487892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330p1 41650m1 |
Quadratic twists by: 5 -7 |