Atkin-Lehner |
2+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66368b |
Isogeny class |
Conductor |
66368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-6971739404713984 = -1 · 214 · 178 · 61 |
Discriminant |
Eigenvalues |
2+ 0 3 1 -3 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,964,-4017232] |
[a1,a2,a3,a4,a6] |
Generators |
[562:13192:1] |
Generators of the group modulo torsion |
j |
6046929072/425521203901 |
j-invariant |
L |
7.9152174738844 |
L(r)(E,1)/r! |
Ω |
0.19337715111326 |
Real period |
R |
5.1164378963096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66368e1 4148a1 |
Quadratic twists by: -4 8 |