Atkin-Lehner |
3+ 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
33165h |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
54170950829180625 = 39 · 54 · 114 · 673 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141954,17309303] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1279:1] |
Generators of the group modulo torsion |
j |
16072263521196147/2752169426875 |
j-invariant |
L |
6.8844200631903 |
L(r)(E,1)/r! |
Ω |
0.33774681294483 |
Real period |
R |
1.6986146129118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33165e1 |
Quadratic twists by: -3 |