Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fk |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
944190222151680 = 212 · 318 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459147,-119740934] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:86:1] |
Generators of the group modulo torsion |
j |
3585019225176649/316207395 |
j-invariant |
L |
6.4452532255849 |
L(r)(E,1)/r! |
Ω |
0.18340615886637 |
Real period |
R |
4.3927459024584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000017488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355s4 28560dg4 |
Quadratic twists by: -4 -3 |