Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dw |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.8327563410836E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19314230,72873851397] |
[a1,a2,a3,a4,a6] |
Generators |
[-1555:315651:1] |
Generators of the group modulo torsion |
j |
-69953320343800203409/160900419519000000 |
j-invariant |
L |
11.019636768149 |
L(r)(E,1)/r! |
Ω |
0.074026286824353 |
Real period |
R |
3.1012735635726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850a3 23310z3 |
Quadratic twists by: -3 5 |