Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112bp |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-193572384768 = -1 · 212 · 39 · 74 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5880,-174832] |
[a1,a2,a3,a4,a6] |
Generators |
[112:756:1] |
Generators of the group modulo torsion |
j |
-3136000/27 |
j-invariant |
L |
5.1820510272211 |
L(r)(E,1)/r! |
Ω |
0.27245958557916 |
Real period |
R |
0.79248007495097 |
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 |
14112bq1 28224ek1 4704b1 14112bv1 |
Quadratic twists by: -4 8 -3 -7 |