Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680bs |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-48969204480 = -1 · 28 · 38 · 5 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,-7796] |
[a1,a2,a3,a4,a6] |
j |
210308096/262395 |
j-invariant |
L |
1.2090109636281 |
L(r)(E,1)/r! |
Ω |
0.6045055102624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42840bc1 28560bf1 |
Quadratic twists by: -4 -3 |