Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800cx |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
53219531250000 = 24 · 34 · 511 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2109133,1178270738] |
[a1,a2,a3,a4,a6] |
Generators |
[518:15000:1] |
Generators of the group modulo torsion |
j |
4150455958484156416/212878125 |
j-invariant |
L |
6.8253825886175 |
L(r)(E,1)/r! |
Ω |
0.47241453881837 |
Real period |
R |
1.805983418104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8700c1 104400en1 6960z1 |
Quadratic twists by: -4 -3 5 |