Atkin-Lehner |
2- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
21488g |
Isogeny class |
Conductor |
21488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4372600180441088 = 223 · 174 · 792 |
Discriminant |
Eigenvalues |
2- -2 2 0 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167152,26054868] |
[a1,a2,a3,a4,a6] |
Generators |
[2194:101120:1] |
Generators of the group modulo torsion |
j |
126095937366490993/1067529340928 |
j-invariant |
L |
3.8867468827722 |
L(r)(E,1)/r! |
Ω |
0.43888451994649 |
Real period |
R |
2.2139917826483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2686a2 85952r2 |
Quadratic twists by: -4 8 |