Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650j |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-4214531250 = -1 · 2 · 36 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12042,-505634] |
[a1,a2,a3,a4,a6] |
j |
-16954786009/370 |
j-invariant |
L |
1.822983052044 |
L(r)(E,1)/r! |
Ω |
0.2278728815055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1850h1 3330z1 |
Quadratic twists by: -3 5 |