Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480bg |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-89481319326000 = -1 · 24 · 310 · 53 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10485,194238] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:315:1] |
Generators of the group modulo torsion |
j |
7966500957353984/5592582457875 |
j-invariant |
L |
7.7037829864778 |
L(r)(E,1)/r! |
Ω |
0.38235768718756 |
Real period |
R |
0.22386783790917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960j1 118440ba1 |
Quadratic twists by: -4 -3 |