Atkin-Lehner |
2- 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
129780g |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2759447250000 = 24 · 37 · 56 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45048,-3679247] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:9:1] |
Generators of the group modulo torsion |
j |
866767750168576/236578125 |
j-invariant |
L |
6.6124499946948 |
L(r)(E,1)/r! |
Ω |
0.32770856297571 |
Real period |
R |
1.6814864179692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43260e1 |
Quadratic twists by: -3 |