Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890dh |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39534073583804100 = 22 · 39 · 52 · 77 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4709963,3935527831] |
[a1,a2,a3,a4,a6] |
Generators |
[1630:436211:8] |
Generators of the group modulo torsion |
j |
4989954429855387/17072300 |
j-invariant |
L |
9.9955903378172 |
L(r)(E,1)/r! |
Ω |
0.31794300769575 |
Real period |
R |
7.8595771590966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999330678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890w1 18270bi3 |
Quadratic twists by: -3 -7 |