Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099bh |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
46457895886354953 = 39 · 7 · 1110 · 13 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99666,6280159] |
[a1,a2,a3,a4,a6] |
j |
84778086457/35972937 |
j-invariant |
L |
0.64786523500375 |
L(r)(E,1)/r! |
Ω |
0.32393271536362 |
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 |
33033h1 9009l1 |
Quadratic twists by: -3 -11 |