Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550v |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-3.0643604708188E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,649074,-174366752] |
[a1,a2,a3,a4,a6] |
Generators |
[428:13272:1] |
Generators of the group modulo torsion |
j |
1935473755102091567/1961190701324064 |
j-invariant |
L |
5.4658119441012 |
L(r)(E,1)/r! |
Ω |
0.11346160687574 |
Real period |
R |
2.0072178652199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650dp3 1302j4 |
Quadratic twists by: -3 5 |