Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46480q |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1305216 |
Modular degree for the optimal curve |
Δ |
-435897725840864000 = -1 · 28 · 53 · 711 · 832 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -3 3 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-762088,258030988] |
[a1,a2,a3,a4,a6] |
Generators |
[698:8134:1] |
Generators of the group modulo torsion |
j |
-191204943430809083904/1702725491565875 |
j-invariant |
L |
3.1183741053828 |
L(r)(E,1)/r! |
Ω |
0.29906884951305 |
Real period |
R |
0.23697599691305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11620c1 |
Quadratic twists by: -4 |