Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
43800c |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4316490000000000 = -1 · 210 · 34 · 510 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27992,-2605988] |
[a1,a2,a3,a4,a6] |
Generators |
[322:6300:1] |
Generators of the group modulo torsion |
j |
151596789116/269780625 |
j-invariant |
L |
4.246598170237 |
L(r)(E,1)/r! |
Ω |
0.22928361958874 |
Real period |
R |
2.3151447636427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600n2 8760h2 |
Quadratic twists by: -4 5 |