Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680j |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
437225040 = 24 · 38 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318,-1937] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:14:1] [23:54:1] |
Generators of the group modulo torsion |
j |
304900096/37485 |
j-invariant |
L |
10.52327661142 |
L(r)(E,1)/r! |
Ω |
1.1396713062013 |
Real period |
R |
4.6168033512372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840r1 28560br1 |
Quadratic twists by: -4 -3 |