Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800bz |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2775303000000 = -1 · 26 · 310 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458,80088] |
[a1,a2,a3,a4,a6] |
Generators |
[28:300:1] |
Generators of the group modulo torsion |
j |
-10648000/2775303 |
j-invariant |
L |
8.8156431229764 |
L(r)(E,1)/r! |
Ω |
0.6567999414846 |
Real period |
R |
1.3422113043491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800g1 4512c1 |
Quadratic twists by: -4 5 |