Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dj |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1061832240 = -1 · 24 · 38 · 5 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-1573] |
[a1,a2,a3,a4,a6] |
Generators |
[829:23868:1] |
Generators of the group modulo torsion |
j |
-1048576/91035 |
j-invariant |
L |
5.7862083045283 |
L(r)(E,1)/r! |
Ω |
0.6865484380543 |
Real period |
R |
4.2139840269335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420m1 28560ct1 |
Quadratic twists by: -4 -3 |