Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744cn |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-5901299712 = -1 · 212 · 35 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27197,1717323] |
[a1,a2,a3,a4,a6] |
Generators |
[97:36:1] |
Generators of the group modulo torsion |
j |
-11085279718912/29403 |
j-invariant |
L |
9.3251041423453 |
L(r)(E,1)/r! |
Ω |
1.1684402751781 |
Real period |
R |
0.39904068442696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51744h1 103488bd1 51744bw1 |
Quadratic twists by: -4 8 -7 |