Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600x |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
896400000000 = 210 · 33 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19008,-1014012] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:12:1] |
Generators of the group modulo torsion |
j |
47471816164/56025 |
j-invariant |
L |
8.165234376683 |
L(r)(E,1)/r! |
Ω |
0.40662522860636 |
Real period |
R |
1.6733742824268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999694477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49800a1 19920d1 |
Quadratic twists by: -4 5 |