Atkin-Lehner |
11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67507f |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3782193901772011 = -1 · 114 · 172 · 197 |
Discriminant |
Eigenvalues |
-1 -2 -2 4 11+ 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21111,-2711396] |
[a1,a2,a3,a4,a6] |
j |
22117051943/80393731 |
j-invariant |
L |
0.89923211610318 |
L(r)(E,1)/r! |
Ω |
0.22480802822724 |
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 |
3553b2 |
Quadratic twists by: -19 |