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 |
-2057730530625 = -1 · 38 · 54 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-952,69541] |
[a1,a2,a3,a4,a6] |
Generators |
[12:239:1] |
Generators of the group modulo torsion |
j |
-95575628340361/2057730530625 |
j-invariant |
L |
5.6115880292197 |
L(r)(E,1)/r! |
Ω |
0.6946000549195 |
Real period |
R |
1.009859556855 |
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 |
65835u3 109725bk3 |
Quadratic twists by: -3 5 |