Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692v |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
173928120912 = 24 · 310 · 72 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154740,23428897] |
[a1,a2,a3,a4,a6] |
Generators |
[224:81:1] |
Generators of the group modulo torsion |
j |
35130471503872000/14911533 |
j-invariant |
L |
5.9670184693767 |
L(r)(E,1)/r! |
Ω |
0.82675057161482 |
Real period |
R |
0.60145291239024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564k1 |
Quadratic twists by: -3 |