Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51156n |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
379233773920377936 = 24 · 310 · 712 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-395724,91119665] |
[a1,a2,a3,a4,a6] |
j |
4994190819328/276357501 |
j-invariant |
L |
1.7800849337025 |
L(r)(E,1)/r! |
Ω |
0.29668082249669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17052g1 7308c1 |
Quadratic twists by: -3 -7 |