Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8840a |
Isogeny class |
Conductor |
8840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
73548800 = 210 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176,860] |
[a1,a2,a3,a4,a6] |
j |
592143556/71825 |
j-invariant |
L |
3.7490746914933 |
L(r)(E,1)/r! |
Ω |
1.8745373457466 |
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 |
17680b1 70720o1 79560bu1 44200m1 |
Quadratic twists by: -4 8 -3 5 |