Atkin-Lehner |
2+ 3+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28014d |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-4875352393968 = -1 · 24 · 38 · 74 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1981,110701] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-293:1] |
Generators of the group modulo torsion |
j |
-860438115607897/4875352393968 |
j-invariant |
L |
3.3643677703123 |
L(r)(E,1)/r! |
Ω |
0.66526074720563 |
Real period |
R |
0.63215208932061 |
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 |
84042bq1 |
Quadratic twists by: -3 |