Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150cd |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-165750000000 = -1 · 27 · 3 · 59 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,787,-17583] |
[a1,a2,a3,a4,a6] |
Generators |
[42:279:1] |
Generators of the group modulo torsion |
j |
3449795831/10608000 |
j-invariant |
L |
9.7714215245233 |
L(r)(E,1)/r! |
Ω |
0.52207463775738 |
Real period |
R |
1.3368944396939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450bc1 6630b1 |
Quadratic twists by: -3 5 |