Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050bx |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
319991493007812500 = 22 · 510 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-789130,268638997] |
[a1,a2,a3,a4,a6] |
j |
29563822919961/174072500 |
j-invariant |
L |
2.4560538155827 |
L(r)(E,1)/r! |
Ω |
0.30700672715873 |
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 |
14210c4 10150m3 |
Quadratic twists by: 5 -7 |