Atkin-Lehner |
2- 3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
129780n |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
3217883587994880 = 28 · 320 · 5 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -3 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39072,1178116] |
[a1,a2,a3,a4,a6] |
j |
35347047645184/17242603245 |
j-invariant |
L |
2.3888440550364 |
L(r)(E,1)/r! |
Ω |
0.39814055741394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43260c1 |
Quadratic twists by: -3 |