Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21024h |
Isogeny class |
Conductor |
21024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
30652992 = 26 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201,1064] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
19248832/657 |
j-invariant |
L |
5.1211624595319 |
L(r)(E,1)/r! |
Ω |
2.0746659774671 |
Real period |
R |
1.2342137276923 |
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 |
21024i1 42048bq1 7008a1 |
Quadratic twists by: -4 8 -3 |