Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
20328v |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1559345772677616 = -1 · 24 · 321 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10388,1859141] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:891:1] |
Generators of the group modulo torsion |
j |
5820759945472/73222472421 |
j-invariant |
L |
4.6448864549714 |
L(r)(E,1)/r! |
Ω |
0.35176892128285 |
Real period |
R |
0.15719486280775 |
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 |
40656p1 60984p1 20328h1 |
Quadratic twists by: -4 -3 -11 |