Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600ca |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-29525409792000000 = -1 · 223 · 37 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74008,-11356012] |
[a1,a2,a3,a4,a6] |
Generators |
[758:-19200:1] |
Generators of the group modulo torsion |
j |
-700463661841/461334528 |
j-invariant |
L |
7.7947707166782 |
L(r)(E,1)/r! |
Ω |
0.14057840904147 |
Real period |
R |
0.9901402084092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999281741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450i1 4944h1 |
Quadratic twists by: -4 5 |