Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984m |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1284413469976578816 = -1 · 28 · 311 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33255,54487971] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:3969:1] |
Generators of the group modulo torsion |
j |
135037162496/42645837339 |
j-invariant |
L |
7.8690139209109 |
L(r)(E,1)/r! |
Ω |
0.21090038850759 |
Real period |
R |
1.69597815102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19992b1 119952bh1 5712f1 |
Quadratic twists by: -4 -3 -7 |