Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dn |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-39284118720000000 = -1 · 212 · 313 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78432,4410992] |
[a1,a2,a3,a4,a6] |
j |
17869652393984/13156171875 |
j-invariant |
L |
0.92745023561883 |
L(r)(E,1)/r! |
Ω |
0.2318625587442 |
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 |
3465g1 18480ck1 |
Quadratic twists by: -4 -3 |