Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018x |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3034213182 = 2 · 39 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3701,87535] |
[a1,a2,a3,a4,a6] |
j |
284760442539/154154 |
j-invariant |
L |
2.8114056845506 |
L(r)(E,1)/r! |
Ω |
1.4057028422753 |
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 |
18018d2 126126dr2 |
Quadratic twists by: -3 -7 |