Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43316a |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
55119245452544 = 28 · 78 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 5 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84149,9416849] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:3822:1] |
Generators of the group modulo torsion |
j |
44653084672/37349 |
j-invariant |
L |
7.9372500537092 |
L(r)(E,1)/r! |
Ω |
0.62431725198332 |
Real period |
R |
0.47086993556218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43316l1 |
Quadratic twists by: -7 |