Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ct |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-2149048516608000 = -1 · 220 · 39 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2997,2229498] |
[a1,a2,a3,a4,a6] |
Generators |
[901:27136:1] |
Generators of the group modulo torsion |
j |
36926037/26656000 |
j-invariant |
L |
5.9593854855333 |
L(r)(E,1)/r! |
Ω |
0.36139185177666 |
Real period |
R |
4.1225234141209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710p1 85680di1 |
Quadratic twists by: -4 -3 |