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 |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-1372750000 = -1 · 24 · 56 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17,1788] |
[a1,a2,a3,a4,a6] |
Generators |
[4:44:1] [8:50:1] |
Generators of the group modulo torsion |
j |
2048/5491 |
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 |
64600j1 5168a1 |
Quadratic twists by: -4 5 |