Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150ca |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
67878385180312500 = 22 · 35 · 57 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4444632188,-114053575877719] |
[a1,a2,a3,a4,a6] |
Generators |
[-656358077384348670860252460:328157311199125615557419117:17052138707980593830976] |
Generators of the group modulo torsion |
j |
13209596798923694545921/92340 |
j-invariant |
L |
5.2785975716005 |
L(r)(E,1)/r! |
Ω |
0.018490156963039 |
Real period |
R |
35.685186327763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830p3 2850l4 |
Quadratic twists by: 5 -19 |