Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384y |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-5481502208 = -1 · 29 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 1 -4 7- -5 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4720,123304] |
[a1,a2,a3,a4,a6] |
Generators |
[30:98:1] |
Generators of the group modulo torsion |
j |
-193100552/91 |
j-invariant |
L |
3.3904898174842 |
L(r)(E,1)/r! |
Ω |
1.3354281112915 |
Real period |
R |
0.63471964323961 |
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 |
20384z1 40768dt1 2912d1 |
Quadratic twists by: -4 8 -7 |