Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360b |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-11211436800 = -1 · 28 · 39 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1361,-19539] |
[a1,a2,a3,a4,a6] |
Generators |
[1898:28795:8] |
Generators of the group modulo torsion |
j |
-1089876235264/43794675 |
j-invariant |
L |
4.8113217417358 |
L(r)(E,1)/r! |
Ω |
0.39206404732891 |
Real period |
R |
6.1358874583309 |
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 |
10680c1 85440br1 64080m1 106800n1 |
Quadratic twists by: -4 8 -3 5 |