Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160bh |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
94350960000000000 = 213 · 33 · 510 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-537776,-150892224] |
[a1,a2,a3,a4,a6] |
Generators |
[970:15466:1] |
Generators of the group modulo torsion |
j |
4199221866816810289/23034902343750 |
j-invariant |
L |
3.7718140877364 |
L(r)(E,1)/r! |
Ω |
0.17635694701442 |
Real period |
R |
5.3468464831511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270o2 |
Quadratic twists by: -4 |