Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
12816m |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1088522551296 = -1 · 224 · 36 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -6 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,861,-49246] |
[a1,a2,a3,a4,a6] |
j |
23639903/364544 |
j-invariant |
L |
0.85218333989432 |
L(r)(E,1)/r! |
Ω |
0.42609166994716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1602b1 51264bl1 1424c1 |
Quadratic twists by: -4 8 -3 |