Atkin-Lehner |
2+ 3- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650bb |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
-6110575200 = -1 · 25 · 35 · 52 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111,3778] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:66:1] |
Generators of the group modulo torsion |
j |
-5971949905/244423008 |
j-invariant |
L |
5.3045655456116 |
L(r)(E,1)/r! |
Ω |
1.1164206548433 |
Real period |
R |
0.47514039418674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650cl1 |
Quadratic twists by: 5 |