Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850b |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
81452401875000 = 23 · 33 · 57 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12567,-321659] |
[a1,a2,a3,a4,a6] |
Generators |
[129:373:1] |
Generators of the group modulo torsion |
j |
520300455507/193072360 |
j-invariant |
L |
3.3696917740689 |
L(r)(E,1)/r! |
Ω |
0.46503136150053 |
Real period |
R |
3.6230801329139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800cb2 5850bd4 1170i2 76050dp2 |
Quadratic twists by: -4 -3 5 13 |