Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200l |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24548000000 = 28 · 56 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2108,35788] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:38:1] [-2:200:1] |
Generators of the group modulo torsion |
j |
259108432/6137 |
j-invariant |
L |
8.7225216201806 |
L(r)(E,1)/r! |
Ω |
1.1940101727606 |
Real period |
R |
3.652616125261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64600j2 5168a2 |
Quadratic twists by: -4 5 |