Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cl |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.3085608435711E+24 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98137004,-366984431408] |
[a1,a2,a3,a4,a6] |
Generators |
[-91772831048605686:662574914385704320:17904534011281] |
Generators of the group modulo torsion |
j |
3389174547561866673/74853681183008 |
j-invariant |
L |
6.9378179144668 |
L(r)(E,1)/r! |
Ω |
0.048031382557596 |
Real period |
R |
18.055429453211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768m3 10192bf3 5824bd4 |
Quadratic twists by: -4 8 -7 |