Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784g |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
1 |
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 |
0.84854077854362 |
L(r)(E,1)/r! |
Ω |
0.84854077854362 |
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 |
14784cj1 1848d1 44352s1 103488du1 |
Quadratic twists by: -4 8 -3 -7 |