Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ew |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-250722326937600 = -1 · 218 · 38 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11733,584026] |
[a1,a2,a3,a4,a6] |
j |
59822347031/83966400 |
j-invariant |
L |
2.9978944274223 |
L(r)(E,1)/r! |
Ω |
0.37473680319563 |
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 |
10710bm1 28560dh1 |
Quadratic twists by: -4 -3 |