Atkin-Lehner |
2+ 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266m |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1132449546496968 = 23 · 36 · 74 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115836,15116840] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:5407:1] |
Generators of the group modulo torsion |
j |
235791936629176257/1553428733192 |
j-invariant |
L |
5.2740745362887 |
L(r)(E,1)/r! |
Ω |
0.49136134935775 |
Real period |
R |
1.3416995819883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474e3 |
Quadratic twists by: -3 |