Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10176g |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-256087425024 = -1 · 229 · 32 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 5 2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-769,25439] |
[a1,a2,a3,a4,a6] |
j |
-192100033/976896 |
j-invariant |
L |
3.4111216477114 |
L(r)(E,1)/r! |
Ω |
0.85278041192786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10176m1 318d1 30528x1 |
Quadratic twists by: -4 8 -3 |