Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bs |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1041664546125000 = 23 · 38 · 56 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81117,-8735459] |
[a1,a2,a3,a4,a6] |
j |
5182207647625/91449288 |
j-invariant |
L |
2.2655642298544 |
L(r)(E,1)/r! |
Ω |
0.28319552871202 |
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 |
24150br2 2898n2 |
Quadratic twists by: -3 5 |