Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560dg |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-22570168320 = -1 · 212 · 33 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,504,5940] |
[a1,a2,a3,a4,a6] |
Generators |
[6:96:1] |
Generators of the group modulo torsion |
j |
3449795831/5510295 |
j-invariant |
L |
6.6749533167229 |
L(r)(E,1)/r! |
Ω |
0.82125125210527 |
Real period |
R |
1.3546307742021 |
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 |
1785b1 114240gx1 85680fk1 |
Quadratic twists by: -4 8 -3 |