Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dw |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1057112985600 = 212 · 36 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5440,144500] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:504:1] |
Generators of the group modulo torsion |
j |
4347507044161/258084225 |
j-invariant |
L |
6.6825657829725 |
L(r)(E,1)/r! |
Ω |
0.86012460465833 |
Real period |
R |
0.64744163682608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1785h2 114240fn2 85680dp2 |
Quadratic twists by: -4 8 -3 |