Atkin-Lehner |
2- 3+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22620c |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-63516960000 = -1 · 28 · 34 · 54 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-820,15400] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:110:1] [10:90:1] |
Generators of the group modulo torsion |
j |
-238481570896/248113125 |
j-invariant |
L |
6.6271011737048 |
L(r)(E,1)/r! |
Ω |
1.0048512559399 |
Real period |
R |
0.54959221862698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480by2 67860f2 113100q2 |
Quadratic twists by: -4 -3 5 |