Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bc |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2517293590812 = -1 · 22 · 312 · 72 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3397,3399] |
[a1,a2,a3,a4,a6] |
j |
5948434379159/3453077628 |
j-invariant |
L |
5.8700243771424 |
L(r)(E,1)/r! |
Ω |
0.4891686980952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006e1 126126ez1 |
Quadratic twists by: -3 -7 |