Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680gl |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-13841726614732800 = -1 · 216 · 33 · 52 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34015,5130975] |
[a1,a2,a3,a4,a6] |
Generators |
[85:2940:1] |
Generators of the group modulo torsion |
j |
66411370031324/211207986675 |
j-invariant |
L |
10.497257646116 |
L(r)(E,1)/r! |
Ω |
0.28025948165065 |
Real period |
R |
1.5606456333501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999774065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680be3 31920g3 |
Quadratic twists by: -4 8 |