Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880cv |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1241065350758400000 = 224 · 3 · 55 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204803745,1128187374657] |
[a1,a2,a3,a4,a6] |
j |
3624077477509875809161129/4734288600000 |
j-invariant |
L |
1.7380467429206 |
L(r)(E,1)/r! |
Ω |
0.17380467430126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880bq4 12720w3 |
Quadratic twists by: -4 8 |