Atkin-Lehner |
2- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810bd |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1451123734890565000 = -1 · 23 · 54 · 177 · 294 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,83033,-57242009] |
[a1,a2,a3,a4,a6] |
Generators |
[421:7014:1] [641:15774:1] |
Generators of the group modulo torsion |
j |
2622933472671/60118885000 |
j-invariant |
L |
15.626888040958 |
L(r)(E,1)/r! |
Ω |
0.13052851552481 |
Real period |
R |
2.4941689271176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930f4 |
Quadratic twists by: 17 |