Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280x |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
437225040 = 24 · 38 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1415,19998] |
[a1,a2,a3,a4,a6] |
j |
19596564207616/27326565 |
j-invariant |
L |
3.3406011778987 |
L(r)(E,1)/r! |
Ω |
1.6703005889493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560z1 114240k1 42840bj1 71400cn1 |
Quadratic twists by: -4 8 -3 5 |