Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784bq |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-257596416 = -1 · 210 · 33 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-945,11529] |
[a1,a2,a3,a4,a6] |
j |
-91238612224/251559 |
j-invariant |
L |
1.754186013039 |
L(r)(E,1)/r! |
Ω |
1.754186013039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14784bk1 3696l1 44352dv1 103488hr1 |
Quadratic twists by: -4 8 -3 -7 |