Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050ce |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-524535000000 = -1 · 26 · 3 · 57 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,34781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:187:1] |
Generators of the group modulo torsion |
j |
-47045881/33570240 |
j-invariant |
L |
6.7960467455242 |
L(r)(E,1)/r! |
Ω |
0.74932927203965 |
Real period |
R |
0.75579221301756 |
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 |
84150bv1 5610v1 |
Quadratic twists by: -3 5 |