Atkin-Lehner |
3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33033h |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
105192314185959 = 33 · 7 · 117 · 134 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1342074,597869856] |
[a1,a2,a3,a4,a6] |
Generators |
[6318:41607:8] |
Generators of the group modulo torsion |
j |
150902699857302457/59378319 |
j-invariant |
L |
2.2286055689446 |
L(r)(E,1)/r! |
Ω |
0.48345187980011 |
Real period |
R |
4.6097774402407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99099bh4 3003e3 |
Quadratic twists by: -3 -11 |