Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fm |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
43370127360000 = 216 · 32 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39265,-2964863] |
[a1,a2,a3,a4,a6] |
j |
868327204/5625 |
j-invariant |
L |
2.7142929387815 |
L(r)(E,1)/r! |
Ω |
0.3392866173292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040dn4 11760x3 960l3 |
Quadratic twists by: -4 8 -7 |