Atkin-Lehner |
2+ 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960z |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
507904 |
Modular degree for the optimal curve |
Δ |
77933520 = 24 · 32 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1623615,-796834080] |
[a1,a2,a3,a4,a6] |
j |
29583745779050561468416/4870845 |
j-invariant |
L |
4.2798519651702 |
L(r)(E,1)/r! |
Ω |
0.13374537372961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480t1 |
Quadratic twists by: -4 |