Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36192s |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
81866304 = 26 · 32 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-254,-1584] |
[a1,a2,a3,a4,a6] |
Generators |
[7710:41041:216] |
Generators of the group modulo torsion |
j |
28428476608/1279161 |
j-invariant |
L |
7.3263724917311 |
L(r)(E,1)/r! |
Ω |
1.1988259091356 |
Real period |
R |
6.1112897509971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36192j1 72384bw2 108576bo1 |
Quadratic twists by: -4 8 -3 |