Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616v |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-123088896 = -1 · 212 · 34 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83,-421] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
15252992/30051 |
j-invariant |
L |
5.1979505195032 |
L(r)(E,1)/r! |
Ω |
0.97029756914338 |
Real period |
R |
0.66963355943627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616r1 71232cd1 106848l1 |
Quadratic twists by: -4 8 -3 |