Atkin-Lehner |
3- 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
46431d |
Isogeny class |
Conductor |
46431 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
306629920839627 = 38 · 78 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18072,-401247] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:147:1] |
Generators of the group modulo torsion |
j |
895423225866625/420617175363 |
j-invariant |
L |
5.5336281216888 |
L(r)(E,1)/r! |
Ω |
0.4310041919668 |
Real period |
R |
3.209729873175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15477d2 |
Quadratic twists by: -3 |