Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20748h |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
12846414672 = 24 · 36 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2289,42570] |
[a1,a2,a3,a4,a6] |
Generators |
[3:189:1] |
Generators of the group modulo torsion |
j |
82933658632192/802900917 |
j-invariant |
L |
3.5739968640618 |
L(r)(E,1)/r! |
Ω |
1.2681759886154 |
Real period |
R |
0.31313537414242 |
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 |
82992ch1 62244w1 |
Quadratic twists by: -4 -3 |