Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ek |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2140653795840000 = 212 · 310 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53283,4178018] |
[a1,a2,a3,a4,a6] |
j |
5602762882081/716900625 |
j-invariant |
L |
3.5746027259271 |
L(r)(E,1)/r! |
Ω |
0.4468253356685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355d2 28560dc2 |
Quadratic twists by: -4 -3 |