Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574ci |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
-1782943584785426448 = -1 · 24 · 39 · 74 · 119 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-471479,-140232135] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:-48647:1] |
Generators of the group modulo torsion |
j |
-2047314227/314928 |
j-invariant |
L |
9.9760130341454 |
L(r)(E,1)/r! |
Ω |
0.090331070505946 |
Real period |
R |
1.5338657652268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722bk1 35574bt1 35574r1 |
Quadratic twists by: -3 -7 -11 |