Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150cc |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
570 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-635706040320000000 = -1 · 219 · 35 · 57 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7787,38360417] |
[a1,a2,a3,a4,a6] |
Generators |
[962:-31081:1] |
Generators of the group modulo torsion |
j |
3342032927351/40685186580480 |
j-invariant |
L |
11.157290453028 |
L(r)(E,1)/r! |
Ω |
0.22745024869192 |
Real period |
R |
0.086059232248875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450bb1 6630a1 |
Quadratic twists by: -3 5 |