Atkin-Lehner |
2- 3+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744m |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
279898288128 = 212 · 33 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 -6 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4179,100818] |
[a1,a2,a3,a4,a6] |
j |
72982227339/2530909 |
j-invariant |
L |
3.8802813009579 |
L(r)(E,1)/r! |
Ω |
0.97006992081208 |
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 |
8109a1 129744u1 |
Quadratic twists by: -4 -3 |