Atkin-Lehner |
2- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
14212a |
Isogeny class |
Conductor |
14212 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
17281792 = 28 · 11 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11+ 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-991,12006] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:114:1] |
Generators of the group modulo torsion |
j |
420440661072/67507 |
j-invariant |
L |
2.7775895961576 |
L(r)(E,1)/r! |
Ω |
2.1186836811742 |
Real period |
R |
0.87399851799121 |
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 |
56848h2 127908k2 |
Quadratic twists by: -4 -3 |