Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ek |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-58283347046400 = -1 · 212 · 314 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5037,340562] |
[a1,a2,a3,a4,a6] |
j |
4733169839/19518975 |
j-invariant |
L |
3.5746027259271 |
L(r)(E,1)/r! |
Ω |
0.4468253356685 |
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 |
5355d1 28560dc1 |
Quadratic twists by: -4 -3 |