Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10150h |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32767128884000000 = 28 · 56 · 710 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-981113,-374027783] |
[a1,a2,a3,a4,a6] |
j |
6684374974140996553/2097096248576 |
j-invariant |
L |
2.4271574735032 |
L(r)(E,1)/r! |
Ω |
0.15169734209395 |
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 |
81200bo2 91350bn2 406d2 71050bu2 |
Quadratic twists by: -4 -3 5 -7 |