Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fj |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
342504607334400 = 214 · 310 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73587,-7631566] |
[a1,a2,a3,a4,a6] |
Generators |
[583:12150:1] |
Generators of the group modulo torsion |
j |
14758408587889/114704100 |
j-invariant |
L |
6.7530235020596 |
L(r)(E,1)/r! |
Ω |
0.29000321148131 |
Real period |
R |
2.910753759164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972586 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10710o2 28560cg2 |
Quadratic twists by: -4 -3 |