Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050d |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-296746450 = -1 · 2 · 52 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3250,-72690] |
[a1,a2,a3,a4,a6] |
Generators |
[5759694105:469224972408:857375] |
Generators of the group modulo torsion |
j |
-151929659700625/11869858 |
j-invariant |
L |
5.6668778644463 |
L(r)(E,1)/r! |
Ω |
0.31613988052564 |
Real period |
R |
17.925223021607 |
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 |
50050cd2 |
Quadratic twists by: 5 |