Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bn |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
123705835347656250 = 2 · 38 · 59 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-269105,51064647] |
[a1,a2,a3,a4,a6] |
Generators |
[3742:39975:8] |
Generators of the group modulo torsion |
j |
189208196468929/10860320250 |
j-invariant |
L |
5.5541644059709 |
L(r)(E,1)/r! |
Ω |
0.32546879558989 |
Real period |
R |
4.2662802711273 |
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 |
46800dc4 1950a4 1170g4 76050bh4 |
Quadratic twists by: -4 -3 5 13 |