Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ey |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4820406066000 = 24 · 310 · 53 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5052,-89129] |
[a1,a2,a3,a4,a6] |
j |
1222548865024/413272125 |
j-invariant |
L |
3.4905625821593 |
L(r)(E,1)/r! |
Ω |
0.58176042986746 |
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 |
21420x1 28560dj1 |
Quadratic twists by: -4 -3 |