Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800kh |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
864162432000000000 = 216 · 39 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1579500,-762750000] |
[a1,a2,a3,a4,a6] |
Generators |
[2909126:105024736:1331] |
Generators of the group modulo torsion |
j |
172974204/343 |
j-invariant |
L |
5.9472768517457 |
L(r)(E,1)/r! |
Ω |
0.13468566759206 |
Real period |
R |
11.039179172196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800co1 25200p1 100800ki1 100800kp1 |
Quadratic twists by: -4 8 -3 5 |