Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10296j |
Isogeny class |
Conductor |
10296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-2161665792 = -1 · 28 · 310 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,321,322] |
[a1,a2,a3,a4,a6] |
Generators |
[11:72:1] |
Generators of the group modulo torsion |
j |
19600688/11583 |
j-invariant |
L |
5.0809729211536 |
L(r)(E,1)/r! |
Ω |
0.89146499639333 |
Real period |
R |
1.4248941185885 |
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 |
20592i1 82368ck1 3432d1 113256x1 |
Quadratic twists by: -4 8 -3 -11 |