Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bk |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
672000000000 = 214 · 3 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2833,43537] |
[a1,a2,a3,a4,a6] |
j |
78608/21 |
j-invariant |
L |
1.6958732323105 |
L(r)(E,1)/r! |
Ω |
0.8479366161574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600hh1 4200bc1 100800go1 33600dq1 |
Quadratic twists by: -4 8 -3 5 |