Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
996c |
Isogeny class |
Conductor |
996 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-573696 = -1 · 28 · 33 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
-810448/2241 |
j-invariant |
L |
2.5309557846901 |
L(r)(E,1)/r! |
Ω |
2.5646016408504 |
Real period |
R |
0.98688066964304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3984e1 15936g1 2988b1 24900d1 |
Quadratic twists by: -4 8 -3 5 |