Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948f |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1930687855824 = 24 · 3 · 77 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57689,5352054] |
[a1,a2,a3,a4,a6] |
Generators |
[250:2548:1] |
Generators of the group modulo torsion |
j |
11279816900608/1025661 |
j-invariant |
L |
4.7323541129874 |
L(r)(E,1)/r! |
Ω |
0.79490419676268 |
Real period |
R |
1.4883410103149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564l1 |
Quadratic twists by: -7 |