Atkin-Lehner |
2- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1612b |
Isogeny class |
Conductor |
1612 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
408 |
Modular degree for the optimal curve |
Δ |
-83824 = -1 · 24 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 2 -1 1 2 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-926,-10543] |
[a1,a2,a3,a4,a6] |
j |
-5494214435584/5239 |
j-invariant |
L |
2.596145098615 |
L(r)(E,1)/r! |
Ω |
0.43269084976917 |
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 |
6448h1 25792s1 14508d1 40300e1 |
Quadratic twists by: -4 8 -3 5 |