Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bl |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1430016 |
Modular degree for the optimal curve |
Δ |
-55456454847041010 = -1 · 2 · 38 · 5 · 72 · 297 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,70110,8775486] |
[a1,a2,a3,a4,a6] |
Generators |
[165:4899:1] |
Generators of the group modulo torsion |
j |
1066931459038991/1552488867810 |
j-invariant |
L |
4.2171452837235 |
L(r)(E,1)/r! |
Ω |
0.23953402597913 |
Real period |
R |
4.4014052069742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630dl1 127890ce1 |
Quadratic twists by: -3 -7 |