Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
10176p |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-20256915456 = -1 · 219 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -1 2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,415,5889] |
[a1,a2,a3,a4,a6] |
Generators |
[11:108:1] |
Generators of the group modulo torsion |
j |
30080231/77274 |
j-invariant |
L |
4.0187457834878 |
L(r)(E,1)/r! |
Ω |
0.85029017573896 |
Real period |
R |
1.1815806821463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10176j1 2544e1 30528bm1 |
Quadratic twists by: -4 8 -3 |