Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fs |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-207107850240 = -1 · 216 · 37 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,30544] |
[a1,a2,a3,a4,a6] |
Generators |
[5:153:1] |
Generators of the group modulo torsion |
j |
-7086244/4335 |
j-invariant |
L |
7.4731297385326 |
L(r)(E,1)/r! |
Ω |
0.92682834029154 |
Real period |
R |
1.007890217322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960dc1 12240o1 16320cj1 |
Quadratic twists by: -4 8 -3 |