Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dc |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-79949721600 = -1 · 212 · 38 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,560,-12800] |
[a1,a2,a3,a4,a6] |
Generators |
[32:192:1] |
Generators of the group modulo torsion |
j |
4733169839/19518975 |
j-invariant |
L |
5.5429183163167 |
L(r)(E,1)/r! |
Ω |
0.54885270905419 |
Real period |
R |
2.5247749646115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1785m1 114240jk1 85680ek1 |
Quadratic twists by: -4 8 -3 |