Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
46240z |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-3571587809792000 = -1 · 212 · 53 · 178 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 -2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19652,2672672] |
[a1,a2,a3,a4,a6] |
Generators |
[-1734:28900:27] |
Generators of the group modulo torsion |
j |
29376/125 |
j-invariant |
L |
9.8248847572006 |
L(r)(E,1)/r! |
Ω |
0.31748000193016 |
Real period |
R |
2.5788723430018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240h1 92480ct1 46240bi1 |
Quadratic twists by: -4 8 17 |