Atkin-Lehner |
3- 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675bg |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
422892462890625 = 3 · 59 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-494963,-134069208] |
[a1,a2,a3,a4,a6] |
j |
858266076022461289/27065117625 |
j-invariant |
L |
1.4399489316569 |
L(r)(E,1)/r! |
Ω |
0.17999365171131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935b1 |
Quadratic twists by: 5 |