Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19044b |
Isogeny class |
Conductor |
19044 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1934260992 = -1 · 28 · 33 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 0 5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,2116] |
[a1,a2,a3,a4,a6] |
Generators |
[12:62:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.304099382872 |
L(r)(E,1)/r! |
Ω |
1.1740134286243 |
Real period |
R |
2.2589602697677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76176be1 19044b2 19044a1 |
Quadratic twists by: -4 -3 -23 |