Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4080b |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-4080 = -1 · 24 · 3 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,31] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-30118144/255 |
j-invariant |
L |
2.6978930203982 |
L(r)(E,1)/r! |
Ω |
4.4145256623131 |
Real period |
R |
0.61113995631065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2040e1 16320cu1 12240w1 20400be1 |
Quadratic twists by: -4 8 -3 5 |