Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510cl |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
Δ |
-4.6573071527992E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1200172,3243878327] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:55341:1] |
Generators of the group modulo torsion |
j |
109228214467449959/2660818139217920 |
j-invariant |
L |
8.6375095923925 |
L(r)(E,1)/r! |
Ω |
0.1030437092119 |
Real period |
R |
2.9937051742602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5390m2 48510dv2 |
Quadratic twists by: -3 -7 |