Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cy |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2651743846400 = 222 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11+ 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34145,2438657] |
[a1,a2,a3,a4,a6] |
Generators |
[1929:16172:27] |
Generators of the group modulo torsion |
j |
16794916941529/10115600 |
j-invariant |
L |
9.5154283619954 |
L(r)(E,1)/r! |
Ω |
0.80058607026042 |
Real period |
R |
5.9427891109961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bx1 16720ba1 |
Quadratic twists by: -4 8 |