Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40656p |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1559345772677616 = -1 · 24 · 321 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10388,-1859141] |
[a1,a2,a3,a4,a6] |
j |
5820759945472/73222472421 |
j-invariant |
L |
0.46714885653549 |
L(r)(E,1)/r! |
Ω |
0.23357442826458 |
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 |
20328v1 121968bt1 40656c1 |
Quadratic twists by: -4 -3 -11 |