Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cs |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1754726400 = -1 · 216 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,2800] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-30:1] |
Generators of the group modulo torsion |
j |
-594823321/428400 |
j-invariant |
L |
4.6892292577301 |
L(r)(E,1)/r! |
Ω |
1.3718544743282 |
Real period |
R |
0.85454203515765 |
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 |
3570o1 114240ig1 85680eb1 |
Quadratic twists by: -4 8 -3 |