Atkin-Lehner |
2- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54050k |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2965248 |
Modular degree for the optimal curve |
Δ |
-5.9698225E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2757563,2117438281] |
[a1,a2,a3,a4,a6] |
Generators |
[755:21222:1] |
Generators of the group modulo torsion |
j |
-148415761814635382761/38206864000000000 |
j-invariant |
L |
13.848311990648 |
L(r)(E,1)/r! |
Ω |
0.15510959241509 |
Real period |
R |
3.433877788992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810c1 |
Quadratic twists by: 5 |