Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968m |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-24254208 = -1 · 28 · 33 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15,-238] |
[a1,a2,a3,a4,a6] |
Generators |
[13:42:1] |
Generators of the group modulo torsion |
j |
-54000/3509 |
j-invariant |
L |
5.3822824428403 |
L(r)(E,1)/r! |
Ω |
0.93706669902692 |
Real period |
R |
1.4359389914372 |
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 |
45936h1 22968d1 |
Quadratic twists by: -4 -3 |