Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616x |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1831422394368 = 219 · 32 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5313,-135873] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:96:1] |
Generators of the group modulo torsion |
j |
63282696625/6986322 |
j-invariant |
L |
7.7982325291293 |
L(r)(E,1)/r! |
Ω |
0.56319621076037 |
Real period |
R |
1.7307983401965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616c2 29904a2 |
Quadratic twists by: -4 8 |