Atkin-Lehner |
3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8715k |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-744322005 = -1 · 32 · 5 · 74 · 832 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-228,1843] |
[a1,a2,a3,a4,a6] |
j |
-1302528459961/744322005 |
j-invariant |
L |
2.9696956512603 |
L(r)(E,1)/r! |
Ω |
1.4848478256302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26145g2 43575e2 61005c2 |
Quadratic twists by: -3 5 -7 |