Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680b |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
274677473280000 = 216 · 3 · 54 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43841,3456705] |
[a1,a2,a3,a4,a6] |
Generators |
[73:800:1] |
Generators of the group modulo torsion |
j |
142198509015364/4191245625 |
j-invariant |
L |
3.4722189340098 |
L(r)(E,1)/r! |
Ω |
0.54760420570931 |
Real period |
R |
1.5851863323975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000357681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fn1 15960h1 |
Quadratic twists by: -4 8 |