Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575bw |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-26448276462890625 = -1 · 34 · 59 · 78 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 3 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39838,-8405083] |
[a1,a2,a3,a4,a6] |
Generators |
[617:13904:1] |
Generators of the group modulo torsion |
j |
-77626969/293625 |
j-invariant |
L |
5.1994430368301 |
L(r)(E,1)/r! |
Ω |
0.1545819694792 |
Real period |
R |
4.204438473607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315a1 106575y1 |
Quadratic twists by: 5 -7 |