Atkin-Lehner |
3- 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675bk |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
204000 |
Modular degree for the optimal curve |
Δ |
-4864838671875 = -1 · 3 · 58 · 75 · 13 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-833,106244] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:262:1] |
Generators of the group modulo torsion |
j |
-163840000/12453987 |
j-invariant |
L |
6.9634057234446 |
L(r)(E,1)/r! |
Ω |
0.63458201729322 |
Real period |
R |
0.73154775722923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999289311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129675h1 |
Quadratic twists by: 5 |