Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112j |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
12 |
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] |
j |
-448000/2187 |
j-invariant |
L |
1.8177419836186 |
L(r)(E,1)/r! |
Ω |
0.15147849863488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14112bo1 28224v1 4704y1 14112o1 |
Quadratic twists by: -4 8 -3 -7 |