Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470z |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-6146097836032000 = -1 · 215 · 53 · 7 · 118 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21601,3963081] |
[a1,a2,a3,a4,a6] |
j |
-5200020529/28672000 |
j-invariant |
L |
1.8360362137026 |
L(r)(E,1)/r! |
Ω |
0.36720724274052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67760bf1 76230ck1 42350n1 59290ep1 |
Quadratic twists by: -4 -3 5 -7 |