Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bb |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-126247730112 = -1 · 26 · 36 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1062,10368] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:36:1] |
Generators of the group modulo torsion |
j |
17576000/16767 |
j-invariant |
L |
4.4541053008339 |
L(r)(E,1)/r! |
Ω |
0.68458955262878 |
Real period |
R |
3.253121002649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192w1 2208j1 |
Quadratic twists by: -4 -7 |