Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45496f |
Isogeny class |
Conductor |
45496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-937878565888 = -1 · 210 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 0 -4 1 11- 7 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1573,-39930] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1210:1] |
Generators of the group modulo torsion |
j |
237276/517 |
j-invariant |
L |
4.5978600889047 |
L(r)(E,1)/r! |
Ω |
0.45850263878733 |
Real period |
R |
2.5069976156931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90992g1 4136a1 |
Quadratic twists by: -4 -11 |