Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2028a |
Isogeny class |
Conductor |
2028 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6552 |
Modular degree for the optimal curve |
Δ |
-456704790227712 = -1 · 28 · 37 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11717,-1134303] |
[a1,a2,a3,a4,a6] |
j |
-851968/2187 |
j-invariant |
L |
1.9213017499042 |
L(r)(E,1)/r! |
Ω |
0.21347797221157 |
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 |
8112be1 32448bj1 6084j1 50700y1 |
Quadratic twists by: -4 8 -3 5 |