Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800n |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-17938199347200 = -1 · 228 · 35 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57793,5370817] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:3072:1] |
Generators of the group modulo torsion |
j |
-3257444411545/2737152 |
j-invariant |
L |
4.8771645422432 |
L(r)(E,1)/r! |
Ω |
0.68556882379785 |
Real period |
R |
1.7785101848885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800hd1 1650s1 52800dt2 |
Quadratic twists by: -4 8 5 |