Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bv |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-56363433984 = -1 · 214 · 37 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-939,-15910] |
[a1,a2,a3,a4,a6] |
Generators |
[85:720:1] |
Generators of the group modulo torsion |
j |
-30664297/18876 |
j-invariant |
L |
5.1655169535386 |
L(r)(E,1)/r! |
Ω |
0.41948170107788 |
Real period |
R |
1.5392557471117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2574u1 82368dt1 6864n1 |
Quadratic twists by: -4 8 -3 |