Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840du |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
86668185600 = 212 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1188,-6912] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:80:1] |
Generators of the group modulo torsion |
j |
2299968/1075 |
j-invariant |
L |
6.2510900153362 |
L(r)(E,1)/r! |
Ω |
0.85082399612064 |
Real period |
R |
1.8367752903513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dn1 61920e1 123840ef1 |
Quadratic twists by: -4 8 -3 |