Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554v |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-79676784 = -1 · 24 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,106,-107] |
[a1,a2,a3,a4,a6] |
Generators |
[17:71:1] |
Generators of the group modulo torsion |
j |
6751269/4048 |
j-invariant |
L |
5.4835976051497 |
L(r)(E,1)/r! |
Ω |
1.1233936674391 |
Real period |
R |
2.4406393609331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36432w1 4554b1 113850n1 50094b1 |
Quadratic twists by: -4 -3 5 -11 |