Atkin-Lehner |
3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58089a |
Isogeny class |
Conductor |
58089 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
281827576373841 = 32 · 178 · 672 |
Discriminant |
Eigenvalues |
1 3+ 2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22114,-983825] |
[a1,a2,a3,a4,a6] |
Generators |
[34559992248:839817085081:53157376] |
Generators of the group modulo torsion |
j |
49552182217/11675889 |
j-invariant |
L |
6.2204414624124 |
L(r)(E,1)/r! |
Ω |
0.39817056673268 |
Real period |
R |
15.622554709151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3417g2 |
Quadratic twists by: 17 |