Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
1548b |
Isogeny class |
Conductor |
1548 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-64700208 = -1 · 24 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,637] |
[a1,a2,a3,a4,a6] |
j |
-16384000/5547 |
j-invariant |
L |
1.8510798397864 |
L(r)(E,1)/r! |
Ω |
1.8510798397864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6192m1 24768i1 516c1 38700a1 |
Quadratic twists by: -4 8 -3 5 |