Atkin-Lehner |
3- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43407c |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3702313251 = -1 · 310 · 7 · 132 · 53 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 3 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1434,21105] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:77:8] [-7:175:1] |
Generators of the group modulo torsion |
j |
-447346081792/5078619 |
j-invariant |
L |
6.4002294961264 |
L(r)(E,1)/r! |
Ω |
1.4059874728092 |
Real period |
R |
0.56901551577647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469f1 |
Quadratic twists by: -3 |