Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
10824l |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-190976231424 = -1 · 211 · 3 · 11 · 414 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,848,19040] |
[a1,a2,a3,a4,a6] |
Generators |
[21324:306865:1728] |
Generators of the group modulo torsion |
j |
32890394014/93250113 |
j-invariant |
L |
6.2610153795646 |
L(r)(E,1)/r! |
Ω |
0.70853978347425 |
Real period |
R |
8.83650505673 |
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 |
21648c3 86592h3 32472f3 119064h3 |
Quadratic twists by: -4 8 -3 -11 |