Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
16080f |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-250076160 = -1 · 210 · 36 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,-768] |
[a1,a2,a3,a4,a6] |
Generators |
[12:36:1] |
Generators of the group modulo torsion |
j |
6740636/244215 |
j-invariant |
L |
3.1529392879744 |
L(r)(E,1)/r! |
Ω |
0.84323390024494 |
Real period |
R |
1.8695520229076 |
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 |
8040l1 64320ck1 48240q1 80400bb1 |
Quadratic twists by: -4 8 -3 5 |