Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8050m |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-24653125000 = -1 · 23 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -6 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,424,6798] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:9:1] |
Generators of the group modulo torsion |
j |
21653735/63112 |
j-invariant |
L |
1.7469540741301 |
L(r)(E,1)/r! |
Ω |
0.84139456018825 |
Real period |
R |
2.0762602431602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
64400cg1 72450fb1 8050o1 56350x1 |
Quadratic twists by: -4 -3 5 -7 |