Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576a |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
978130944 = 211 · 33 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6291,-192050] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2166:1] |
Generators of the group modulo torsion |
j |
497953800342/17689 |
j-invariant |
L |
3.6526770882786 |
L(r)(E,1)/r! |
Ω |
0.53606883416896 |
Real period |
R |
3.4069105079958 |
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 |
19152l2 76608c2 9576n2 67032f2 |
Quadratic twists by: -4 8 -3 -7 |