Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3520bd |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-115343360 = -1 · 221 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11+ -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-577] |
[a1,a2,a3,a4,a6] |
Generators |
[47:320:1] |
Generators of the group modulo torsion |
j |
-117649/440 |
j-invariant |
L |
4.2248935295298 |
L(r)(E,1)/r! |
Ω |
0.76855548083384 |
Real period |
R |
1.3742968578358 |
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 |
3520m1 880f1 31680cs1 17600br1 |
Quadratic twists by: -4 8 -3 5 |