Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160ch |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-67716000000 = -1 · 28 · 34 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,740,-9592] |
[a1,a2,a3,a4,a6] |
Generators |
[31:210:1] |
Generators of the group modulo torsion |
j |
174820311344/264515625 |
j-invariant |
L |
8.9790442975138 |
L(r)(E,1)/r! |
Ω |
0.58151191063877 |
Real period |
R |
2.5734767517816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540f2 |
Quadratic twists by: -4 |