Atkin-Lehner |
2+ 3+ 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354b |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
94559808 = 26 · 3 · 72 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 6 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-609,-6027] |
[a1,a2,a3,a4,a6] |
j |
25043174237593/94559808 |
j-invariant |
L |
1.9221223923343 |
L(r)(E,1)/r! |
Ω |
0.96106119616716 |
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 |
55062bb1 128478bq1 |
Quadratic twists by: -3 -7 |