Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050l |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-104984100156250 = -1 · 2 · 57 · 74 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12167,-711009] |
[a1,a2,a3,a4,a6] |
Generators |
[173:1443:1] |
Generators of the group modulo torsion |
j |
-12748946194881/6718982410 |
j-invariant |
L |
2.9720110817557 |
L(r)(E,1)/r! |
Ω |
0.22179826168151 |
Real period |
R |
1.6749517439993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400bc3 72450eg3 1610f4 56350n3 |
Quadratic twists by: -4 -3 5 -7 |