Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8442a |
Isogeny class |
Conductor |
8442 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
4288806144 = 28 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 4 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-504,3136] |
[a1,a2,a3,a4,a6] |
Generators |
[0:56:1] |
Generators of the group modulo torsion |
j |
19443408769/5883136 |
j-invariant |
L |
3.7190347548477 |
L(r)(E,1)/r! |
Ω |
1.2825747642868 |
Real period |
R |
0.48327718825237 |
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 |
67536br1 938c1 59094u1 |
Quadratic twists by: -4 -3 -7 |