Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
52668j |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
659511224064 = 28 · 33 · 73 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104151,12937230] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:5082:1] [-114:4830:1] |
Generators of the group modulo torsion |
j |
18076332245679216/95415397 |
j-invariant |
L |
8.907392273327 |
L(r)(E,1)/r! |
Ω |
0.80615457695777 |
Real period |
R |
1.2276929026772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52668l2 |
Quadratic twists by: -3 |