Atkin-Lehner |
3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9027d |
Isogeny class |
Conductor |
9027 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-12430179 = -1 · 36 · 172 · 59 |
Discriminant |
Eigenvalues |
-1 3- -1 3 -4 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,290] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
2.6727439391906 |
L(r)(E,1)/r! |
Ω |
2.1193249151689 |
Real period |
R |
0.63056493132806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003b1 |
Quadratic twists by: -3 |