Atkin-Lehner |
2+ 3+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310c |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-142585080300 = -1 · 22 · 33 · 52 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1146,-10640] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-343:1] |
Generators of the group modulo torsion |
j |
6161700932037/5280928900 |
j-invariant |
L |
4.1156485140644 |
L(r)(E,1)/r! |
Ω |
0.5695597984697 |
Real period |
R |
0.9032520652675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bj2 |
Quadratic twists by: -3 |