Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4284d |
Isogeny class |
Conductor |
4284 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5757696 = 28 · 33 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,1790] |
[a1,a2,a3,a4,a6] |
j |
347482224/833 |
j-invariant |
L |
2.4059991793864 |
L(r)(E,1)/r! |
Ω |
2.4059991793864 |
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 |
17136q2 68544v2 4284c2 107100a2 |
Quadratic twists by: -4 8 -3 5 |