Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890fs |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
223849575810000 = 24 · 38 · 54 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9822182,-11845954011] |
[a1,a2,a3,a4,a6] |
Generators |
[5847:358451:1] |
Generators of the group modulo torsion |
j |
1221889220964658441/2610000 |
j-invariant |
L |
13.284754747753 |
L(r)(E,1)/r! |
Ω |
0.085280073091716 |
Real period |
R |
4.8680608499654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630h4 2610j3 |
Quadratic twists by: -3 -7 |