Atkin-Lehner |
2- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112064p |
Isogeny class |
Conductor |
112064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-487702528 = -1 · 214 · 172 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 -4 -2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,1071] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:32:1] [9:48:1] |
Generators of the group modulo torsion |
j |
686000/29767 |
j-invariant |
L |
7.4680978380463 |
L(r)(E,1)/r! |
Ω |
1.2564328063913 |
Real period |
R |
2.9719447781201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112064f1 28016d1 |
Quadratic twists by: -4 8 |