Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984bg |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-12684460032 = -1 · 215 · 38 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -5 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,5776] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-72:1] |
Generators of the group modulo torsion |
j |
-125000/531 |
j-invariant |
L |
5.8228613193067 |
L(r)(E,1)/r! |
Ω |
1.1007226183629 |
Real period |
R |
0.66125439122518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33984bt1 16992h1 11328r1 |
Quadratic twists by: -4 8 -3 |