Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fj |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-31979888640000 = -1 · 216 · 38 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,-273166] |
[a1,a2,a3,a4,a6] |
Generators |
[103:810:1] |
Generators of the group modulo torsion |
j |
-148035889/10710000 |
j-invariant |
L |
6.7530235020596 |
L(r)(E,1)/r! |
Ω |
0.29000321148131 |
Real period |
R |
1.455376879582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710o1 28560cg1 |
Quadratic twists by: -4 -3 |