Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600ba |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.130494287872E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,569792,-8510846412] |
[a1,a2,a3,a4,a6] |
Generators |
[256394:129826816:1] |
Generators of the group modulo torsion |
j |
511460384375/782623571968 |
j-invariant |
L |
3.3334480304079 |
L(r)(E,1)/r! |
Ω |
0.054500204109028 |
Real period |
R |
5.0969962481734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950m2 47600bl2 |
Quadratic twists by: -4 5 |