Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bd |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
59378800966875000 = 23 · 39 · 57 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113105,8797897] |
[a1,a2,a3,a4,a6] |
j |
520300455507/193072360 |
j-invariant |
L |
3.8539734829365 |
L(r)(E,1)/r! |
Ω |
0.32116445691138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800cc4 5850b2 1170b4 76050l4 |
Quadratic twists by: -4 -3 5 13 |