Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112bm |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-677376 = -1 · 29 · 33 · 72 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -5 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,14] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
1512 |
j-invariant |
L |
3.2226673563648 |
L(r)(E,1)/r! |
Ω |
1.7984908922856 |
Real period |
R |
0.44796826191726 |
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 |
14112bl1 28224ea1 14112g1 14112bg1 |
Quadratic twists by: -4 8 -3 -7 |