Atkin-Lehner |
2+ 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950a |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0581401097754E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11175817,-13498990659] |
[a1,a2,a3,a4,a6] |
Generators |
[-4864275:-40834113:2197] |
Generators of the group modulo torsion |
j |
9879649859497246551009/677209670256250000 |
j-invariant |
L |
2.1252635319736 |
L(r)(E,1)/r! |
Ω |
0.082927555171228 |
Real period |
R |
12.813976775369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998545 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11390h2 |
Quadratic twists by: 5 |