Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4452b |
Isogeny class |
Conductor |
4452 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1276036743856896 = -1 · 28 · 314 · 7 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -1 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73445,-7827087] |
[a1,a2,a3,a4,a6] |
Generators |
[142352:1970487:343] |
Generators of the group modulo torsion |
j |
-171149787988688896/4984518530691 |
j-invariant |
L |
3.2560407600301 |
L(r)(E,1)/r! |
Ω |
0.1447548842112 |
Real period |
R |
3.7489129500684 |
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 |
17808bc1 71232x1 13356a1 111300m1 |
Quadratic twists by: -4 8 -3 5 |