Atkin-Lehner |
2+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45494d |
Isogeny class |
Conductor |
45494 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-7234182916 = -1 · 22 · 232 · 434 |
Discriminant |
Eigenvalues |
2+ 2 -3 -2 -2 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4254,-108664] |
[a1,a2,a3,a4,a6] |
Generators |
[500:-11344:1] [203:2627:1] |
Generators of the group modulo torsion |
j |
-16099782315097/13675204 |
j-invariant |
L |
7.5249339371625 |
L(r)(E,1)/r! |
Ω |
0.29555259289469 |
Real period |
R |
6.3651395031445 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45494g1 |
Quadratic twists by: -23 |