Atkin-Lehner |
2- 3- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718i |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-232026633216 = -1 · 210 · 37 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5130,142884] |
[a1,a2,a3,a4,a6] |
Generators |
[60:198:1] |
Generators of the group modulo torsion |
j |
-14930731945775521/232026633216 |
j-invariant |
L |
10.493035540527 |
L(r)(E,1)/r! |
Ω |
0.99418443328616 |
Real period |
R |
0.075388681769206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98154l1 |
Quadratic twists by: -3 |