Atkin-Lehner |
2- 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050cl |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-33609116160000000 = -1 · 215 · 39 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-679838,215876292] |
[a1,a2,a3,a4,a6] |
Generators |
[1372:42514:1] [472:-686:1] |
Generators of the group modulo torsion |
j |
-2223924474683852569/2150983434240 |
j-invariant |
L |
17.20537843384 |
L(r)(E,1)/r! |
Ω |
0.36646261500138 |
Real period |
R |
0.086944235540618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010a1 |
Quadratic twists by: 5 |