Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bn |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
203080755189312 = 26 · 39 · 7 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32405,-2129875] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:316:1] |
Generators of the group modulo torsion |
j |
5162020164015625/278574424128 |
j-invariant |
L |
7.766654381752 |
L(r)(E,1)/r! |
Ω |
0.3570298218999 |
Real period |
R |
1.8127931023667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006q1 126126eq1 |
Quadratic twists by: -3 -7 |