Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680ft |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6609331555061760 = 212 · 318 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3200907,-2204230534] |
[a1,a2,a3,a4,a6] |
j |
1214661886599131209/2213451765 |
j-invariant |
L |
3.6118633760641 |
L(r)(E,1)/r! |
Ω |
0.11287073109708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355m4 28560cn4 |
Quadratic twists by: -4 -3 |