Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280s |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-64926489600 = -1 · 210 · 36 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,800,8900] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-126:1] |
Generators of the group modulo torsion |
j |
55226908796/63404775 |
j-invariant |
L |
9.2199231121922 |
L(r)(E,1)/r! |
Ω |
0.73505828127181 |
Real period |
R |
0.5226299402976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999310622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59640g1 |
Quadratic twists by: -4 |