Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
55664q |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-653243456648839168 = -1 · 216 · 711 · 712 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,200296,-17868908] |
[a1,a2,a3,a4,a6] |
Generators |
[374:10464:1] |
Generators of the group modulo torsion |
j |
1844124275447/1355585392 |
j-invariant |
L |
2.8714166062747 |
L(r)(E,1)/r! |
Ω |
0.16135871584083 |
Real period |
R |
4.448809274678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6958h1 7952h1 |
Quadratic twists by: -4 -7 |