Atkin-Lehner |
2- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346o |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1005312 |
Modular degree for the optimal curve |
Δ |
-8332140158288128 = -1 · 28 · 7 · 132 · 317 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ -1 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38360,-5261504] |
[a1,a2,a3,a4,a6] |
j |
-36938011366904089/49302604486912 |
j-invariant |
L |
1.3003433873934 |
L(r)(E,1)/r! |
Ω |
0.16254291603442 |
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 |
73346k1 |
Quadratic twists by: 13 |