Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4284b |
Isogeny class |
Conductor |
4284 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
33191971658496 = 28 · 33 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17079,813150] |
[a1,a2,a3,a4,a6] |
Generators |
[50:6725:8] |
Generators of the group modulo torsion |
j |
79708988544624/4802079233 |
j-invariant |
L |
4.0025149337751 |
L(r)(E,1)/r! |
Ω |
0.64518425341018 |
Real period |
R |
6.2036773411927 |
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 |
17136v2 68544k2 4284a2 107100g2 |
Quadratic twists by: -4 8 -3 5 |