Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120bi |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
49979073600 = 26 · 310 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1317,14924] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:180:1] [8:70:1] |
Generators of the group modulo torsion |
j |
5414689216/1071225 |
j-invariant |
L |
8.7221801514713 |
L(r)(E,1)/r! |
Ω |
1.0687437147914 |
Real period |
R |
4.0805761150951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33120s1 66240bc2 11040b1 |
Quadratic twists by: -4 8 -3 |