Atkin-Lehner |
2+ 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20646j |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-1926519552 = -1 · 28 · 38 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 4 -7 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,-8640] |
[a1,a2,a3,a4,a6] |
j |
-75418890625/2642688 |
j-invariant |
L |
1.7960941249891 |
L(r)(E,1)/r! |
Ω |
0.44902353124727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882k1 |
Quadratic twists by: -3 |