Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136bb |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-53971714048 = -1 · 216 · 77 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-11201] |
[a1,a2,a3,a4,a6] |
Generators |
[37:196:1] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
1.7117468481469 |
L(r)(E,1)/r! |
Ω |
0.50673753239136 |
Real period |
R |
0.84449381520494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3136j1 784e1 28224gj1 78400ib1 |
Quadratic twists by: -4 8 -3 5 |