Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616u |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-107702784 = -1 · 29 · 34 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,504] |
[a1,a2,a3,a4,a6] |
Generators |
[10:42:1] |
Generators of the group modulo torsion |
j |
830584/210357 |
j-invariant |
L |
8.4504469926663 |
L(r)(E,1)/r! |
Ω |
1.455389864071 |
Real period |
R |
0.36289447252595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616e1 71232k1 106848p1 |
Quadratic twists by: -4 8 -3 |