Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784cj |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1363629087744 = -1 · 210 · 3 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6641,-217977] |
[a1,a2,a3,a4,a6] |
j |
-31636584484096/1331669031 |
j-invariant |
L |
2.3739934623061 |
L(r)(E,1)/r! |
Ω |
0.26377705136734 |
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 |
14784g1 3696e1 44352et1 103488fh1 |
Quadratic twists by: -4 8 -3 -7 |