Atkin-Lehner |
2- 5+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
105850j |
Isogeny class |
Conductor |
105850 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2370816 |
Modular degree for the optimal curve |
Δ |
-278187031250000000 = -1 · 27 · 513 · 293 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 3 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-360480,-86993853] |
[a1,a2,a3,a4,a6] |
Generators |
[5109:359945:1] |
Generators of the group modulo torsion |
j |
-331547746028487561/17803970000000 |
j-invariant |
L |
6.084077295156 |
L(r)(E,1)/r! |
Ω |
0.097117019619125 |
Real period |
R |
0.74579607168117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21170d1 |
Quadratic twists by: 5 |