Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
47040y |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-2.12513624064E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -3 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,885855,-623947743] |
[a1,a2,a3,a4,a6] |
Generators |
[1209:47040:1] [569:8000:1] |
Generators of the group modulo torsion |
j |
50872947671/140625000 |
j-invariant |
L |
8.3426739488705 |
L(r)(E,1)/r! |
Ω |
0.091324313923626 |
Real period |
R |
0.42292669766276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040gp2 1470f2 47040cl2 |
Quadratic twists by: -4 8 -7 |