Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10296d |
Isogeny class |
Conductor |
10296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
165127248 = 24 · 38 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42474,-3369247] |
[a1,a2,a3,a4,a6] |
Generators |
[244:891:1] |
Generators of the group modulo torsion |
j |
726516846671872/14157 |
j-invariant |
L |
5.1877562645987 |
L(r)(E,1)/r! |
Ω |
0.3325590451214 |
Real period |
R |
3.8998760826855 |
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 |
20592n1 82368bu1 3432g1 113256bn1 |
Quadratic twists by: -4 8 -3 -11 |