Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194n |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4483898924288 = -1 · 28 · 76 · 533 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1205548,508975053] |
[a1,a2,a3,a4,a6] |
Generators |
[629:-119:1] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
4.6152380366203 |
L(r)(E,1)/r! |
Ω |
0.5615676957549 |
Real period |
R |
0.51365557433108 |
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 |
41552be2 46746n2 129850f2 106c2 |
Quadratic twists by: -4 -3 5 -7 |