Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476k |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.3735149743992E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3314372,-315731740] |
[a1,a2,a3,a4,a6] |
Generators |
[85089:5496218:27] |
Generators of the group modulo torsion |
j |
3258571509326000/1920843121977 |
j-invariant |
L |
8.166781613036 |
L(r)(E,1)/r! |
Ω |
0.085242497097508 |
Real period |
R |
7.9838713973994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428r4 2652f4 |
Quadratic twists by: -3 13 |