Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8892g |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-82284469488 = -1 · 24 · 36 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1023,5645] |
[a1,a2,a3,a4,a6] |
Generators |
[4:99:1] |
Generators of the group modulo torsion |
j |
10150866176/7054567 |
j-invariant |
L |
3.43096920939 |
L(r)(E,1)/r! |
Ω |
0.68364346549272 |
Real period |
R |
2.5093264125016 |
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 |
35568bw1 988a1 115596y1 |
Quadratic twists by: -4 -3 13 |