Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900f |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2222884842750000 = -1 · 24 · 314 · 56 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2733,2269962] |
[a1,a2,a3,a4,a6] |
Generators |
[-614:11375:8] |
Generators of the group modulo torsion |
j |
-9033613312/8891539371 |
j-invariant |
L |
5.7965409401776 |
L(r)(E,1)/r! |
Ω |
0.37293051377951 |
Real period |
R |
3.8858049462297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700f1 1716c1 |
Quadratic twists by: -3 5 |