Atkin-Lehner |
2- 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54384n |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-5196472123392 = -1 · 221 · 37 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11+ 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3048496,2049707968] |
[a1,a2,a3,a4,a6] |
Generators |
[126120:3968:125] |
Generators of the group modulo torsion |
j |
-764928416899076565169/1268669952 |
j-invariant |
L |
6.6556267510445 |
L(r)(E,1)/r! |
Ω |
0.49325248186802 |
Real period |
R |
3.3733366763217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798o1 |
Quadratic twists by: -4 |