Atkin-Lehner |
3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48321n |
Isogeny class |
Conductor |
48321 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-20740284296852211 = -1 · 318 · 7 · 133 · 592 |
Discriminant |
Eigenvalues |
2 3- 1 7+ -4 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-98517,13771863] |
[a1,a2,a3,a4,a6] |
j |
-145054003223425024/28450321394859 |
j-invariant |
L |
4.4139623963809 |
L(r)(E,1)/r! |
Ω |
0.36783019972912 |
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 |
16107g1 |
Quadratic twists by: -3 |