Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10224m |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
424009728 = 213 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -2 -3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-758] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:22:1] |
Generators of the group modulo torsion |
j |
389017/142 |
j-invariant |
L |
5.1515807600681 |
L(r)(E,1)/r! |
Ω |
1.2789676134558 |
Real period |
R |
2.0139605983252 |
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 |
1278j1 40896bq1 1136e1 |
Quadratic twists by: -4 8 -3 |