Atkin-Lehner |
2- 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984bb |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
76106760192 = 216 · 39 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,27216] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:216:1] [-14:224:1] |
Generators of the group modulo torsion |
j |
530604/59 |
j-invariant |
L |
7.735288649229 |
L(r)(E,1)/r! |
Ω |
1.0539993800368 |
Real period |
R |
3.6694939274815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984e1 8496c1 33984be1 |
Quadratic twists by: -4 8 -3 |