Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370bp |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
4580205908203125000 = 23 · 38 · 514 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-483557,78533781] |
[a1,a2,a3,a4,a6] |
Generators |
[641:5304:1] |
Generators of the group modulo torsion |
j |
17152931981022227209/6282861328125000 |
j-invariant |
L |
10.047246498509 |
L(r)(E,1)/r! |
Ω |
0.22382195296882 |
Real period |
R |
0.53439832767373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790c2 |
Quadratic twists by: -3 |