Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ej |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13093099407360000 = -1 · 214 · 37 · 54 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42837,-4320038] |
[a1,a2,a3,a4,a6] |
j |
2911343039639/4384852500 |
j-invariant |
L |
3.3749190564506 |
L(r)(E,1)/r! |
Ω |
0.21093244176777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710x4 28560ee3 |
Quadratic twists by: -4 -3 |