Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568t |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
3717446748624 = 24 · 38 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6239,163386] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:147:1] [-54:588:1] |
Generators of the group modulo torsion |
j |
14270199808/1974861 |
j-invariant |
L |
10.176610762863 |
L(r)(E,1)/r! |
Ω |
0.75683971855449 |
Real period |
R |
3.3615475355538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101136g1 7224h1 |
Quadratic twists by: -4 -7 |