Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616cn |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-33082147228299264 = -1 · 212 · 39 · 177 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 3 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27744,-8568272] |
[a1,a2,a3,a4,a6] |
Generators |
[497:11313:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
6.5553526209174 |
L(r)(E,1)/r! |
Ω |
0.18064852670573 |
Real period |
R |
4.5359853886288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2601g1 13872bn1 2448s1 |
Quadratic twists by: -4 -3 17 |