Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960t |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-421500112284160000 = -1 · 212 · 54 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,135877,24577322] |
[a1,a2,a3,a4,a6] |
Generators |
[13629:402094:27] |
Generators of the group modulo torsion |
j |
575722725759/874680625 |
j-invariant |
L |
5.0661631245421 |
L(r)(E,1)/r! |
Ω |
0.20284955226284 |
Real period |
R |
6.2437445240282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3185a4 7280w4 |
Quadratic twists by: -4 -7 |