Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424do |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-3933536256 = -1 · 216 · 35 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -6 13- -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,383,-769] |
[a1,a2,a3,a4,a6] |
Generators |
[23:144:1] [5:36:1] |
Generators of the group modulo torsion |
j |
94559612/60021 |
j-invariant |
L |
8.8985543942712 |
L(r)(E,1)/r! |
Ω |
0.79973399594077 |
Real period |
R |
0.55634463705673 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424ba1 11856d1 |
Quadratic twists by: -4 8 |