Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864be |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-503497903813632 = -1 · 210 · 38 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31899,-2444218] |
[a1,a2,a3,a4,a6] |
Generators |
[211:468:1] |
Generators of the group modulo torsion |
j |
-834148/117 |
j-invariant |
L |
7.6983209359471 |
L(r)(E,1)/r! |
Ω |
0.17723823408339 |
Real period |
R |
3.6195731015981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728m1 15288b1 45864bu1 |
Quadratic twists by: -4 -3 -7 |