Atkin-Lehner |
2- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872be |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1650539723183095808 = 229 · 72 · 894 |
Discriminant |
Eigenvalues |
2- -2 4 7+ 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-625121,-180123233] |
[a1,a2,a3,a4,a6] |
Generators |
[114770:569867:125] |
Generators of the group modulo torsion |
j |
103056823169347321/6296309368832 |
j-invariant |
L |
4.8230787162562 |
L(r)(E,1)/r! |
Ω |
0.17043779072235 |
Real period |
R |
7.0745441721181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39872v2 9968i2 |
Quadratic twists by: -4 8 |