Atkin-Lehner |
7- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8323c |
Isogeny class |
Conductor |
8323 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-11766399883 = -1 · 7 · 293 · 413 |
Discriminant |
Eigenvalues |
0 -2 0 7- 3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,107,5237] |
[a1,a2,a3,a4,a6] |
j |
134217728000/11766399883 |
j-invariant |
L |
0.97335212831601 |
L(r)(E,1)/r! |
Ω |
0.97335212831601 |
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 |
74907j2 58261h2 |
Quadratic twists by: -3 -7 |