Atkin-Lehner |
3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099b |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16688172501 = 39 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20549,1138888] |
[a1,a2,a3,a4,a6] |
j |
36627445161/637 |
j-invariant |
L |
2.2678411092459 |
L(r)(E,1)/r! |
Ω |
1.1339204478408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99099a2 99099g2 |
Quadratic twists by: -3 -11 |