Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328bf |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-99749888 = -1 · 212 · 73 · 71 |
Discriminant |
Eigenvalues |
2- -1 0 7- -5 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,449] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-28:1] [-1:20:1] |
Generators of the group modulo torsion |
j |
8000/71 |
j-invariant |
L |
8.8475603657484 |
L(r)(E,1)/r! |
Ω |
1.3858758691403 |
Real period |
R |
0.79801161863036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328x1 111328bd1 |
Quadratic twists by: -4 -7 |