Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bm |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
423886848 = 218 · 3 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2177,38367] |
[a1,a2,a3,a4,a6] |
j |
4354703137/1617 |
j-invariant |
L |
3.2939232232405 |
L(r)(E,1)/r! |
Ω |
1.6469616116202 |
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 |
14784br1 231a1 44352cf1 103488cb1 |
Quadratic twists by: -4 8 -3 -7 |