Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112k |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1428781968520704 = -1 · 29 · 319 · 74 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28077,-168266] |
[a1,a2,a3,a4,a6] |
j |
2731405432/1594323 |
j-invariant |
L |
2.2623368781583 |
L(r)(E,1)/r! |
Ω |
0.28279210976979 |
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 |
14112l1 28224em1 4704z1 14112q1 |
Quadratic twists by: -4 8 -3 -7 |