Atkin-Lehner |
2+ 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266m |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6549901400741832 = -1 · 23 · 36 · 7 · 178 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,46164,-777736] |
[a1,a2,a3,a4,a6] |
Generators |
[523:12631:1] |
Generators of the group modulo torsion |
j |
14924548067431743/8984775584008 |
j-invariant |
L |
5.2740745362887 |
L(r)(E,1)/r! |
Ω |
0.24568067467888 |
Real period |
R |
5.3667983279531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474e4 |
Quadratic twists by: -3 |