Atkin-Lehner |
2+ 3+ 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090a |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
281600 |
Modular degree for the optimal curve |
Δ |
52014473395200 = 210 · 33 · 52 · 175 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -4 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18300,-882864] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:276:1] |
Generators of the group modulo torsion |
j |
25103054346465627/1926461977600 |
j-invariant |
L |
4.5603427995745 |
L(r)(E,1)/r! |
Ω |
0.41246804297145 |
Real period |
R |
1.3820291276577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81090ba1 |
Quadratic twists by: -3 |