Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gg |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-1249472716800 = -1 · 213 · 3 · 52 · 75 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20608,1133108] |
[a1,a2,a3,a4,a6] |
Generators |
[79:66:1] |
Generators of the group modulo torsion |
j |
-9452623635625/12201882 |
j-invariant |
L |
8.3250324352861 |
L(r)(E,1)/r! |
Ω |
0.85994879727264 |
Real period |
R |
2.4202116605947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550bv1 92400fm1 |
Quadratic twists by: -4 5 |