Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fk |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-115879559040000 = -1 · 210 · 34 · 54 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9381,621819] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:-840:1] [-21:900:1] |
Generators of the group modulo torsion |
j |
-89169731239936/113163631875 |
j-invariant |
L |
13.475263080651 |
L(r)(E,1)/r! |
Ω |
0.53394923732876 |
Real period |
R |
1.0515405881528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680h1 31920bi1 |
Quadratic twists by: -4 8 |