Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624z |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
8548384768 = 217 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90848,-10569868] |
[a1,a2,a3,a4,a6] |
j |
413160293352625/42592 |
j-invariant |
L |
1.6499529750821 |
L(r)(E,1)/r! |
Ω |
0.27499216251368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1078j2 34496co2 77616fc2 8624n2 |
Quadratic twists by: -4 8 -3 -7 |