Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466bf |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
135968333711554998 = 2 · 36 · 172 · 199 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-237706655,-1410560854959] |
[a1,a2,a3,a4,a6] |
j |
43311038625059640625/3964502 |
j-invariant |
L |
2.7683546464718 |
L(r)(E,1)/r! |
Ω |
0.038449369242666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274h4 5814e4 |
Quadratic twists by: -3 -19 |