Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222s |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.5726129753254E+29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43162055262,3451578223802548] |
[a1,a2,a3,a4,a6] |
Generators |
[482964287445015525:-4123608565124618513:4076829984375] |
Generators of the group modulo torsion |
j |
-505369473241574671219626625/20303219722982711328 |
j-invariant |
L |
4.1129823909831 |
L(r)(E,1)/r! |
Ω |
0.028389585570442 |
Real period |
R |
18.109556323563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074n4 3366e4 |
Quadratic twists by: -3 17 |