Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450dy |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2529964800 = -1 · 28 · 33 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,340,47] |
[a1,a2,a3,a4,a6] |
Generators |
[3:31:1] |
Generators of the group modulo torsion |
j |
441045/256 |
j-invariant |
L |
10.026281768089 |
L(r)(E,1)/r! |
Ω |
0.86940282267462 |
Real period |
R |
0.24025786979259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450f1 54450s1 54450g1 |
Quadratic twists by: -3 5 -11 |