Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946k |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2881112976 = 24 · 36 · 72 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-861,-9163] |
[a1,a2,a3,a4,a6] |
j |
96892315857/3952144 |
j-invariant |
L |
1.7670406791735 |
L(r)(E,1)/r! |
Ω |
0.88352033958676 |
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 |
71568bl2 994f2 62622bb2 |
Quadratic twists by: -4 -3 -7 |