Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14896b |
Isogeny class |
Conductor |
14896 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1752499504 = -1 · 24 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ -5 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-686,7203] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:118:1] |
Generators of the group modulo torsion |
j |
-387072/19 |
j-invariant |
L |
5.2338342338038 |
L(r)(E,1)/r! |
Ω |
1.4741498371872 |
Real period |
R |
3.5504085824751 |
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 |
7448k1 59584bw1 14896q1 |
Quadratic twists by: -4 8 -7 |