Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554t |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-2549657088 = -1 · 29 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 11+ -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6725,213949] |
[a1,a2,a3,a4,a6] |
Generators |
[43:32:1] |
Generators of the group modulo torsion |
j |
-1708632808875/129536 |
j-invariant |
L |
5.0828134194575 |
L(r)(E,1)/r! |
Ω |
1.375664762744 |
Real period |
R |
0.20526695961881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36432ba1 4554d1 113850c1 50094f1 |
Quadratic twists by: -4 -3 5 -11 |