Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510cj |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
27708306967756800 = 218 · 33 · 52 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76817,1755009] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:2676:1] |
Generators of the group modulo torsion |
j |
15781142246787/8722841600 |
j-invariant |
L |
11.069247151432 |
L(r)(E,1)/r! |
Ω |
0.32494925452536 |
Real period |
R |
0.31541241517703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510d3 990h3 |
Quadratic twists by: -3 -7 |