Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
406d |
Isogeny class |
Conductor |
406 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
2097096248576 = 28 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39244,-3007920] |
[a1,a2,a3,a4,a6] |
j |
6684374974140996553/2097096248576 |
j-invariant |
L |
1.6960278446405 |
L(r)(E,1)/r! |
Ω |
0.33920556892811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3248i2 12992v2 3654w2 10150h2 |
Quadratic twists by: -4 8 -3 5 |