Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560a |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12300288 |
Modular degree for the optimal curve |
Δ |
-3.0762226318359E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385958256,-3037911577200] |
[a1,a2,a3,a4,a6] |
Generators |
[98304386287417434374756040982203550833796366848:-9021340937512812567183081440584438547479101562500:3649377043970162118008558764742144480356621] |
Generators of the group modulo torsion |
j |
-6209330302768171611865194436/300412366390228271484375 |
j-invariant |
L |
4.4460949035302 |
L(r)(E,1)/r! |
Ω |
0.016982855216551 |
Real period |
R |
65.449755751274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280q1 114240jr1 85680br1 |
Quadratic twists by: -4 8 -3 |