Atkin-Lehner |
2+ 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422g |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-565257326592 = -1 · 212 · 3 · 76 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 5 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,61,-36147] |
[a1,a2,a3,a4,a6] |
Generators |
[214:3029:1] |
Generators of the group modulo torsion |
j |
24464768327/565257326592 |
j-invariant |
L |
4.016169788314 |
L(r)(E,1)/r! |
Ω |
0.4247071338066 |
Real period |
R |
0.78802729940779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266bw1 114954r1 |
Quadratic twists by: -3 -7 |