Atkin-Lehner |
2- 3- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21156d |
Isogeny class |
Conductor |
21156 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-4496580864 = -1 · 28 · 35 · 412 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 5 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1596,24228] |
[a1,a2,a3,a4,a6] |
Generators |
[48:246:1] |
Generators of the group modulo torsion |
j |
-1757334737104/17564769 |
j-invariant |
L |
5.6781806062802 |
L(r)(E,1)/r! |
Ω |
1.3840849062147 |
Real period |
R |
0.1367493323756 |
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 |
84624j1 63468f1 |
Quadratic twists by: -4 -3 |