Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10824b |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
169728 |
Modular degree for the optimal curve |
Δ |
-1.6509589492319E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 11+ 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31831,195513604] |
[a1,a2,a3,a4,a6] |
Generators |
[1303:48627:1] |
Generators of the group modulo torsion |
j |
-222929848528328704/1031849343269953659 |
j-invariant |
L |
3.846952172359 |
L(r)(E,1)/r! |
Ω |
0.176302024446 |
Real period |
R |
5.4550595553956 |
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 |
21648k1 86592bl1 32472r1 119064t1 |
Quadratic twists by: -4 8 -3 -11 |