Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fn |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
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 |
[-123:300:1] |
Generators of the group modulo torsion |
j |
142198509015364/4191245625 |
j-invariant |
L |
9.4177608230246 |
L(r)(E,1)/r! |
Ω |
0.33053039398539 |
Real period |
R |
2.3744061533435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680b1 31920i1 |
Quadratic twists by: -4 8 |