Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248t |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-1235968 = -1 · 210 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 2 -4 0 -1 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
-1755904/1207 |
j-invariant |
L |
4.6962056260856 |
L(r)(E,1)/r! |
Ω |
2.5157419064535 |
Real period |
R |
1.866727907841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248e1 19312i1 |
Quadratic twists by: -4 8 |