Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660s |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
61560 |
Modular degree for the optimal curve |
Δ |
-36684496168560 = -1 · 24 · 33 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2286,-295191] |
[a1,a2,a3,a4,a6] |
Generators |
[2670:137967:1] |
Generators of the group modulo torsion |
j |
-4864/135 |
j-invariant |
L |
5.6851364255459 |
L(r)(E,1)/r! |
Ω |
0.2823487986289 |
Real period |
R |
6.7117178623902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86640bt1 64980ba1 108300i1 21660g1 |
Quadratic twists by: -4 -3 5 -19 |