Atkin-Lehner |
2+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952b |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
279846411548229632 = 229 · 174 · 792 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-668609,-209107553] |
[a1,a2,a3,a4,a6] |
Generators |
[1243:29696:1] |
Generators of the group modulo torsion |
j |
126095937366490993/1067529340928 |
j-invariant |
L |
2.3128032517176 |
L(r)(E,1)/r! |
Ω |
0.16704298507593 |
Real period |
R |
3.4613893591027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85952r2 2686a2 |
Quadratic twists by: -4 8 |