Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112t |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
21785966991936 = 26 · 310 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9849,301840] |
[a1,a2,a3,a4,a6] |
Generators |
[1260:44590:1] |
Generators of the group modulo torsion |
j |
19248832/3969 |
j-invariant |
L |
5.4500914434643 |
L(r)(E,1)/r! |
Ω |
0.64286522818326 |
Real period |
R |
4.2389066981164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14112s1 28224fy2 4704be1 2016d1 |
Quadratic twists by: -4 8 -3 -7 |