Atkin-Lehner |
3+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469b |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-411368139 = -1 · 38 · 7 · 132 · 53 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ -3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,91,887] |
[a1,a2,a3,a4,a6] |
Generators |
[65:526:1] |
Generators of the group modulo torsion |
j |
82426462208/411368139 |
j-invariant |
L |
3.8377232472544 |
L(r)(E,1)/r! |
Ω |
1.209166195811 |
Real period |
R |
0.79346479841846 |
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 |
43407f1 101283s1 |
Quadratic twists by: -3 -7 |