Atkin-Lehner |
3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48645c |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
727086021890625 = 316 · 56 · 23 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46193,3605856] |
[a1,a2,a3,a4,a6] |
j |
14952571051943881/997374515625 |
j-invariant |
L |
0.99548496637423 |
L(r)(E,1)/r! |
Ω |
0.49774248305951 |
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 |
16215b2 |
Quadratic twists by: -3 |