Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
2262l |
Isogeny class |
Conductor |
2262 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-422143488 = -1 · 29 · 37 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -1 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-279,2025] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-63:1] |
Generators of the group modulo torsion |
j |
-2402335209457/422143488 |
j-invariant |
L |
4.4997493752621 |
L(r)(E,1)/r! |
Ω |
1.6140245975873 |
Real period |
R |
0.044252481260135 |
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 |
18096y1 72384c1 6786f1 56550b1 |
Quadratic twists by: -4 8 -3 5 |