Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bk |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
227310753600 = 26 · 35 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1786,18436] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:170:1] |
Generators of the group modulo torsion |
j |
9849886929856/3551730525 |
j-invariant |
L |
5.1066217153946 |
L(r)(E,1)/r! |
Ω |
0.9101635636832 |
Real period |
R |
1.4026659380668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120cf1 114240kl2 |
Quadratic twists by: -4 8 |