Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21648bf |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-487686144 = -1 · 215 · 3 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11- -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-1452] |
[a1,a2,a3,a4,a6] |
Generators |
[66:528:1] |
Generators of the group modulo torsion |
j |
-148035889/119064 |
j-invariant |
L |
6.1227053393968 |
L(r)(E,1)/r! |
Ω |
0.63329822814636 |
Real period |
R |
1.208495671407 |
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 |
2706j1 86592by1 64944y1 |
Quadratic twists by: -4 8 -3 |