Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9464g |
Isogeny class |
Conductor |
9464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
484379936768 = 211 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6816,-211732] |
[a1,a2,a3,a4,a6] |
j |
3543122/49 |
j-invariant |
L |
4.7327975051065 |
L(r)(E,1)/r! |
Ω |
0.52586638945628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18928h2 75712q2 85176y2 66248y2 |
Quadratic twists by: -4 8 -3 -7 |