Atkin-Lehner |
3- 5+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675x |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
262743837890625 = 32 · 510 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51688,-4459633] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:184:1] |
Generators of the group modulo torsion |
j |
977402387054521/16815605625 |
j-invariant |
L |
3.8369054987572 |
L(r)(E,1)/r! |
Ω |
0.31696064996952 |
Real period |
R |
3.026326344395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099559 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25935j2 |
Quadratic twists by: 5 |