Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6042k |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-49592736 = -1 · 25 · 34 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -5 2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[16:49:1] |
Generators of the group modulo torsion |
j |
-4750104241/49592736 |
j-invariant |
L |
6.7247888971196 |
L(r)(E,1)/r! |
Ω |
0.85184044715003 |
Real period |
R |
0.19736057731288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336ba1 18126e1 114798g1 |
Quadratic twists by: -4 -3 -19 |