Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650r |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1559376562500 = 22 · 36 · 58 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5667,154241] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:583:1] |
Generators of the group modulo torsion |
j |
1767172329/136900 |
j-invariant |
L |
3.6865651176683 |
L(r)(E,1)/r! |
Ω |
0.82767349693014 |
Real period |
R |
1.1135324289535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1850j2 3330t2 |
Quadratic twists by: -3 5 |