Atkin-Lehner |
2+ 3- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430n |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4382103750 = 2 · 3 · 54 · 232 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20023,1088828] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-5:1] |
Generators of the group modulo torsion |
j |
887728115518894441/4382103750 |
j-invariant |
L |
5.6536549593953 |
L(r)(E,1)/r! |
Ω |
1.2217402708785 |
Real period |
R |
1.1568856110739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290w2 |
Quadratic twists by: -3 |