Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018g |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30053159136 = 25 · 38 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96741,-11557323] |
[a1,a2,a3,a4,a6] |
Generators |
[6141:477507:1] |
Generators of the group modulo torsion |
j |
137350557323428177/41225184 |
j-invariant |
L |
4.1433680524065 |
L(r)(E,1)/r! |
Ω |
0.27070526902237 |
Real period |
R |
7.6529135678996 |
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 |
6006bc2 126126bw2 |
Quadratic twists by: -3 -7 |