Atkin-Lehner |
3- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945x |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1456788650625 = 32 · 54 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3854,-71773] |
[a1,a2,a3,a4,a6] |
Generators |
[22932:415831:64] |
Generators of the group modulo torsion |
j |
6328442608325209/1456788650625 |
j-invariant |
L |
7.0852917682527 |
L(r)(E,1)/r! |
Ω |
0.61598385085078 |
Real period |
R |
5.751199287503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65835bp2 109725b2 |
Quadratic twists by: -3 5 |