Atkin-Lehner |
2+ 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674f |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1704960 |
Modular degree for the optimal curve |
Δ |
-121070365112298784 = -1 · 25 · 710 · 13 · 1013 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- -4 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-134628,25276784] |
[a1,a2,a3,a4,a6] |
Generators |
[6609:68456:27] |
Generators of the group modulo torsion |
j |
-2293753238070841/1029081123616 |
j-invariant |
L |
5.730641888656 |
L(r)(E,1)/r! |
Ω |
0.30963512899042 |
Real period |
R |
3.0846209124733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998672657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18382b1 |
Quadratic twists by: -7 |