Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704c |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12190727798784 = 229 · 33 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2097036,1168845040] |
[a1,a2,a3,a4,a6] |
Generators |
[3678:207872:1] |
Generators of the group modulo torsion |
j |
144091275020705979/1722368 |
j-invariant |
L |
4.8101652711725 |
L(r)(E,1)/r! |
Ω |
0.5021765441746 |
Real period |
R |
2.3946584756755 |
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 |
16704bq2 522b2 16704j2 |
Quadratic twists by: -4 8 -3 |