Atkin-Lehner |
3- 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
56763n |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1.9827541925894E+20 |
Discriminant |
Eigenvalues |
0 3- -1 7- -5 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1472628,-965450840] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:2551:1] [2260:85144:1] |
Generators of the group modulo torsion |
j |
-484479432765199876096/271982742467682771 |
j-invariant |
L |
7.7087413861624 |
L(r)(E,1)/r! |
Ω |
0.06678646435116 |
Real period |
R |
0.96186423664558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18921e1 |
Quadratic twists by: -3 |