Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bm |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-4156416 = -1 · 210 · 32 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,99] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
2048/4059 |
j-invariant |
L |
6.6588444409568 |
L(r)(E,1)/r! |
Ω |
1.9336279542595 |
Real period |
R |
0.86092627425508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592bw1 10824c1 |
Quadratic twists by: -4 8 |