Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150cn |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
32952622500000000 = 28 · 38 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114755,-12120253] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:1660:1] |
Generators of the group modulo torsion |
j |
14671937276641/2892960000 |
j-invariant |
L |
11.276810896225 |
L(r)(E,1)/r! |
Ω |
0.26296150425318 |
Real period |
R |
1.3401214037636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050o1 25830l1 |
Quadratic twists by: -3 5 |