Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770bc |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
484 |
Product of Tamagawa factors cp |
Δ |
2335192680228894720 = 211 · 322 · 5 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2300396,1340720016] |
[a1,a2,a3,a4,a6] |
Generators |
[760:5236:1] |
Generators of the group modulo torsion |
j |
1346268037883685978817729/2335192680228894720 |
j-invariant |
L |
7.627203281149 |
L(r)(E,1)/r! |
Ω |
0.25880408857808 |
Real period |
R |
0.24356159984589 |
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 |
50310t2 83850g2 |
Quadratic twists by: -3 5 |