Atkin-Lehner |
2+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
44840c |
Isogeny class |
Conductor |
44840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1814589604000000 = 28 · 56 · 194 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33607,-1192806] |
[a1,a2,a3,a4,a6] |
Generators |
[683:17160:1] |
Generators of the group modulo torsion |
j |
16397324251002576/7088240640625 |
j-invariant |
L |
5.0854590785163 |
L(r)(E,1)/r! |
Ω |
0.36673346753714 |
Real period |
R |
4.6223025063835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89680d2 |
Quadratic twists by: -4 |