Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ec |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.0409808455107E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8470401,-9233509599] |
[a1,a2,a3,a4,a6] |
Generators |
[-9797374648056:-69763220401875:6476460544] |
Generators of the group modulo torsion |
j |
2179252305146449/66177562500 |
j-invariant |
L |
5.1528960933892 |
L(r)(E,1)/r! |
Ω |
0.088660570018665 |
Real period |
R |
14.529841428701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040cf6 11760co6 6720cg6 |
Quadratic twists by: -4 8 -7 |