Atkin-Lehner |
2- 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bv |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
921133433745051450 = 2 · 3 · 52 · 73 · 118 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-362551,70046723] |
[a1,a2,a3,a4,a6] |
Generators |
[5966:114347:8] |
Generators of the group modulo torsion |
j |
5270248690809460324849/921133433745051450 |
j-invariant |
L |
6.3641159834019 |
L(r)(E,1)/r! |
Ω |
0.26649380148334 |
Real period |
R |
3.9801526014098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ce3 |
Quadratic twists by: -3 |