Atkin-Lehner |
7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39347g |
Isogeny class |
Conductor |
39347 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
4032555989 = 73 · 115 · 73 |
Discriminant |
Eigenvalues |
-1 -2 1 7- 11- -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1590,24079] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:1629:8] [15:-68:1] |
Generators of the group modulo torsion |
j |
1296098584327/11756723 |
j-invariant |
L |
4.5531155016936 |
L(r)(E,1)/r! |
Ω |
1.3970165793845 |
Real period |
R |
0.32591706991047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39347f1 |
Quadratic twists by: -7 |