Atkin-Lehner |
3+ 5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495g |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64096869375 = 38 · 54 · 72 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1406,15644] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:190:1] |
Generators of the group modulo torsion |
j |
307396543251169/64096869375 |
j-invariant |
L |
3.0411023712143 |
L(r)(E,1)/r! |
Ω |
1.0443428996989 |
Real period |
R |
1.4559884364087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485z2 |
Quadratic twists by: -3 |