Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fg |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-4582584792576000 = -1 · 212 · 37 · 53 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41253,455114] |
[a1,a2,a3,a4,a6] |
Generators |
[23:1190:1] |
Generators of the group modulo torsion |
j |
2600176603751/1534698375 |
j-invariant |
L |
6.6937066106321 |
L(r)(E,1)/r! |
Ω |
0.2646449138149 |
Real period |
R |
0.52694086920223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355r1 28560ce1 |
Quadratic twists by: -4 -3 |