Atkin-Lehner |
2+ 3+ 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354a |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1842048 |
Modular degree for the optimal curve |
Δ |
1.5619556298892E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -6 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3184919,-1083256107] |
[a1,a2,a3,a4,a6] |
Generators |
[-62407615206:-2223126556301:69426531] |
Generators of the group modulo torsion |
j |
3572885513196319527503353/1561955629889212121088 |
j-invariant |
L |
3.1741725387922 |
L(r)(E,1)/r! |
Ω |
0.11762976477565 |
Real period |
R |
13.492216637712 |
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 |
55062bd1 128478bn1 |
Quadratic twists by: -3 -7 |