Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dp |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
770635366502400 = 212 · 312 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48963,-3950462] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:450:1] |
Generators of the group modulo torsion |
j |
4347507044161/258084225 |
j-invariant |
L |
5.9333795802834 |
L(r)(E,1)/r! |
Ω |
0.32213734774241 |
Real period |
R |
2.3023485244063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004106 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355g2 28560dw2 |
Quadratic twists by: -4 -3 |