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 |
Δ |
-37933056 = -1 · 212 · 33 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.2735081776012 |
L(r)(E,1)/r! |
Ω |
1.224862663399 |
Real period |
R |
1.7444846288899 |
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 |
14112bk2 28224ds1 14112e2 14112bj2 |
Quadratic twists by: -4 8 -3 -7 |