Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600cm |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-4395870000 = -1 · 24 · 38 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-750,8525] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-45:1] |
Generators of the group modulo torsion |
j |
-6400000/603 |
j-invariant |
L |
8.6390757139312 |
L(r)(E,1)/r! |
Ω |
1.3483435362652 |
Real period |
R |
0.53393141758841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200j1 120600p1 |
Quadratic twists by: -3 5 |