Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cc |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-67760000000 = -1 · 210 · 57 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,9000] |
[a1,a2,a3,a4,a6] |
Generators |
[1:99:1] |
Generators of the group modulo torsion |
j |
3538944/4235 |
j-invariant |
L |
6.9974651414202 |
L(r)(E,1)/r! |
Ω |
0.73477833827359 |
Real period |
R |
2.3808082026989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999452822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dz1 7700g1 24640f1 |
Quadratic twists by: -4 8 5 |