Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056f |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17752892348672 = 28 · 132 · 177 |
Discriminant |
Eigenvalues |
2- 0 0 2 -6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27455,1739202] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:578:1] [-51:1734:1] |
Generators of the group modulo torsion |
j |
370386000/2873 |
j-invariant |
L |
8.2258023565498 |
L(r)(E,1)/r! |
Ω |
0.69457161600859 |
Real period |
R |
1.4803733277754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60112a2 1768c2 |
Quadratic twists by: -4 17 |