Atkin-Lehner |
2+ 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632f |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-62816256 = -1 · 215 · 33 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 1 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
830584/1917 |
j-invariant |
L |
3.4519233139689 |
L(r)(E,1)/r! |
Ω |
1.0187013276376 |
Real period |
R |
0.84713821910245 |
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 |
13632l1 6816d1 40896bf1 |
Quadratic twists by: -4 8 -3 |