Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112bo |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-37646150962065408 = -1 · 212 · 313 · 78 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41160,9872912] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:972:1] |
Generators of the group modulo torsion |
j |
-448000/2187 |
j-invariant |
L |
5.09296979921 |
L(r)(E,1)/r! |
Ω |
0.31673175022977 |
Real period |
R |
2.0099697123494 |
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 |
14112j1 28224w1 4704a1 14112bt1 |
Quadratic twists by: -4 8 -3 -7 |