Atkin-Lehner |
3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
33165b |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
607454285625 = 39 · 54 · 11 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-990038,379410292] |
[a1,a2,a3,a4,a6] |
j |
5452398641302220763/30861875 |
j-invariant |
L |
1.2476578882565 |
L(r)(E,1)/r! |
Ω |
0.62382894412959 |
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 |
33165j2 |
Quadratic twists by: -3 |