Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340n |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6.6321911752312E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2430220,-768028568] |
[a1,a2,a3,a4,a6] |
j |
52702650535889104/22020583921875 |
j-invariant |
L |
1.5058498663573 |
L(r)(E,1)/r! |
Ω |
0.12548748886289 |
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 |
129360hz4 97020bu4 4620j4 |
Quadratic twists by: -4 -3 -7 |