Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14448s |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-77672448 = -1 · 212 · 32 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,107,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[4:21:1] |
Generators of the group modulo torsion |
j |
32768000/18963 |
j-invariant |
L |
4.5757642110605 |
L(r)(E,1)/r! |
Ω |
1.1540643683502 |
Real period |
R |
0.9912281187578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
903a1 57792db1 43344bj1 101136ch1 |
Quadratic twists by: -4 8 -3 -7 |