Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bs |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-9553098800 = -1 · 24 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,342,4052] |
[a1,a2,a3,a4,a6] |
Generators |
[46:320:1] |
Generators of the group modulo torsion |
j |
1503815/3248 |
j-invariant |
L |
11.673408159068 |
L(r)(E,1)/r! |
Ω |
0.89745655288057 |
Real period |
R |
1.6259015717072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bd1 10150l1 |
Quadratic twists by: 5 -7 |