Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554bf |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1659238271561376 = 25 · 318 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11- 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41216,2566019] |
[a1,a2,a3,a4,a6] |
j |
10621450496611513/2276047011744 |
j-invariant |
L |
4.4723754344761 |
L(r)(E,1)/r! |
Ω |
0.44723754344761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36432bt1 1518h1 113850cb1 50094u1 |
Quadratic twists by: -4 -3 5 -11 |