Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450y |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
25289000000000000 = 212 · 512 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79838,-4138469] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:327:1] |
Generators of the group modulo torsion |
j |
3601910963276569/1618496000000 |
j-invariant |
L |
8.6021820691515 |
L(r)(E,1)/r! |
Ω |
0.29621350927808 |
Real period |
R |
2.4200398810632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600bw3 94050bk3 2090d3 114950o3 |
Quadratic twists by: -4 -3 5 -11 |