Atkin-Lehner |
2- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7216f |
Isogeny class |
Conductor |
7216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-7216 = -1 · 24 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 2 1 -3 11+ 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,8] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-1048576/451 |
j-invariant |
L |
5.6616275602322 |
L(r)(E,1)/r! |
Ω |
3.9219737076713 |
Real period |
R |
1.4435659140596 |
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 |
1804b1 28864x1 64944bm1 79376r1 |
Quadratic twists by: -4 8 -3 -11 |