Atkin-Lehner |
2+ 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986j |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2348544 |
Modular degree for the optimal curve |
Δ |
74950154023888 = 24 · 118 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3 0 -4 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-843937,-298198675] |
[a1,a2,a3,a4,a6] |
Generators |
[-14325:7265:27] |
Generators of the group modulo torsion |
j |
310107738191625/349648 |
j-invariant |
L |
7.4629473166708 |
L(r)(E,1)/r! |
Ω |
0.15751504913601 |
Real period |
R |
3.9482720684645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128986z1 |
Quadratic twists by: -11 |