Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112bk |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
592704 = 26 · 33 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.2735081776012 |
L(r)(E,1)/r! |
Ω |
2.4497253267979 |
Real period |
R |
0.87224231444494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14112bk1 28224ds2 14112e1 14112bj1 |
Quadratic twists by: -4 8 -3 -7 |