Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050j |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-501002384050 = -1 · 2 · 52 · 77 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,268,33946] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:94:1] |
Generators of the group modulo torsion |
j |
84972077055/20040095362 |
j-invariant |
L |
3.3463419217981 |
L(r)(E,1)/r! |
Ω |
0.71956817806852 |
Real period |
R |
0.22145172643883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400bd1 72450ei1 8050r1 56350l1 |
Quadratic twists by: -4 -3 5 -7 |