Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880ck |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-5478809600000 = -1 · 223 · 55 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31041,-2097695] |
[a1,a2,a3,a4,a6] |
Generators |
[5701:430208:1] |
Generators of the group modulo torsion |
j |
-12618417497041/20900000 |
j-invariant |
L |
4.1144238135169 |
L(r)(E,1)/r! |
Ω |
0.17982139098757 |
Real period |
R |
5.7201534685959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880f1 16720be1 |
Quadratic twists by: -4 8 |