Atkin-Lehner |
2+ 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650ba |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
1916250000 = 24 · 3 · 57 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4026,97948] |
[a1,a2,a3,a4,a6] |
j |
461710681489/122640 |
j-invariant |
L |
2.8887209475673 |
L(r)(E,1)/r! |
Ω |
1.4443604741854 |
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 |
15330u1 |
Quadratic twists by: 5 |