Atkin-Lehner |
3+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945m |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4334247225 = 34 · 52 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1997,33384] |
[a1,a2,a3,a4,a6] |
Generators |
[28:6:1] |
Generators of the group modulo torsion |
j |
881449964682841/4334247225 |
j-invariant |
L |
5.6115880292197 |
L(r)(E,1)/r! |
Ω |
1.389200109839 |
Real period |
R |
2.01971911371 |
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 |
65835u2 109725bk2 |
Quadratic twists by: -3 5 |