Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ey |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.3439430172847E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68843105,-219815685375] |
[a1,a2,a3,a4,a6] |
j |
1169975873419524361/108425318400 |
j-invariant |
L |
1.8868586082856 |
L(r)(E,1)/r! |
Ω |
0.052412739106921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040dc6 11760cd6 6720bw6 |
Quadratic twists by: -4 8 -7 |