Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160f |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.0517430824852E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186285976,-978567513824] |
[a1,a2,a3,a4,a6] |
Generators |
[80566:22515570:1] |
Generators of the group modulo torsion |
j |
698174917526123586708704356/10270928539894275 |
j-invariant |
L |
3.1931876617401 |
L(r)(E,1)/r! |
Ω |
0.040865283343202 |
Real period |
R |
2.1705381686708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080h2 |
Quadratic twists by: -4 |