Atkin-Lehner |
2- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50752i |
Isogeny class |
Conductor |
50752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-792543232 = -1 · 214 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 0 2 -4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,848] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:665:27] |
Generators of the group modulo torsion |
j |
50824368/48373 |
j-invariant |
L |
5.2113261773888 |
L(r)(E,1)/r! |
Ω |
1.0443682313068 |
Real period |
R |
4.9899317320716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50752b2 12688f2 |
Quadratic twists by: -4 8 |