Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8050d |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
810031250 = 2 · 56 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 6 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-351,-2152] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:16:1] |
Generators of the group modulo torsion |
j |
304821217/51842 |
j-invariant |
L |
2.3593206675643 |
L(r)(E,1)/r! |
Ω |
1.1161588145573 |
Real period |
R |
1.0568929066335 |
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 |
64400by2 72450eb2 322c2 56350f2 |
Quadratic twists by: -4 -3 5 -7 |