Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568i |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-176895636719493888 = -1 · 28 · 33 · 712 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233844,47921040] |
[a1,a2,a3,a4,a6] |
Generators |
[639:12642:1] |
Generators of the group modulo torsion |
j |
-46954374288208/5873391027 |
j-invariant |
L |
7.3790685759692 |
L(r)(E,1)/r! |
Ω |
0.31132008094997 |
Real period |
R |
1.9752094996685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136f2 7224a2 |
Quadratic twists by: -4 -7 |