Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050bn |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-353349216000 = -1 · 28 · 310 · 53 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6461,201368] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-89:1] |
Generators of the group modulo torsion |
j |
-238570254035261/2826793728 |
j-invariant |
L |
4.2901282569436 |
L(r)(E,1)/r! |
Ω |
0.9614345154397 |
Real period |
R |
0.44622157703393 |
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 |
84150hf1 28050cq1 |
Quadratic twists by: -3 5 |