Atkin-Lehner |
2+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21736a |
Isogeny class |
Conductor |
21736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
739613828096 = 210 · 113 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 2 11- 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7979,271190] |
[a1,a2,a3,a4,a6] |
j |
54861686071812/722279129 |
j-invariant |
L |
2.7102139251915 |
L(r)(E,1)/r! |
Ω |
0.9034046417305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43472a1 |
Quadratic twists by: -4 |