Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
19296k |
Isogeny class |
Conductor |
19296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
115776 = 26 · 33 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69,220] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:20:1] |
Generators of the group modulo torsion |
j |
21024576/67 |
j-invariant |
L |
6.409344977037 |
L(r)(E,1)/r! |
Ω |
3.3367452987244 |
Real period |
R |
1.9208373439493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19296a1 38592c1 19296b1 |
Quadratic twists by: -4 8 -3 |