Atkin-Lehner |
2- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50344i |
Isogeny class |
Conductor |
50344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11586369536 = 211 · 7 · 292 · 312 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241382699,1443468537030] |
[a1,a2,a3,a4,a6] |
Generators |
[5967845878472790:6681276684376107:660776311000] |
Generators of the group modulo torsion |
j |
759472716640670141181017346/5657407 |
j-invariant |
L |
6.1545728502282 |
L(r)(E,1)/r! |
Ω |
0.28252520138294 |
Real period |
R |
21.784155254251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100688k4 |
Quadratic twists by: -4 |