Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450ei |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-56151562500 = -1 · 22 · 33 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38930,2966197] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-79:1] |
Generators of the group modulo torsion |
j |
-464798385/4 |
j-invariant |
L |
10.435041687974 |
L(r)(E,1)/r! |
Ω |
1.0045705941108 |
Real period |
R |
1.2984455434526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450p1 54450b1 54450q1 |
Quadratic twists by: -3 5 -11 |