Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618by |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-18992056187286 = -1 · 2 · 33 · 78 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-445950,114587514] |
[a1,a2,a3,a4,a6] |
j |
-1701366814932001/3294486 |
j-invariant |
L |
7.078859331916 |
L(r)(E,1)/r! |
Ω |
0.58990494345435 |
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 |
72618bn1 |
Quadratic twists by: -7 |