Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320bb |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-859185941040 = -1 · 24 · 34 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2305,14010] |
[a1,a2,a3,a4,a6] |
Generators |
[19:255:1] |
Generators of the group modulo torsion |
j |
84611246065664/53699121315 |
j-invariant |
L |
6.512537054394 |
L(r)(E,1)/r! |
Ω |
0.55299653220616 |
Real period |
R |
2.9442033878641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640k1 57960r1 96600i1 |
Quadratic twists by: -4 -3 5 |