Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1938b |
Isogeny class |
Conductor |
1938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.9718966908118E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 6 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2399088229,-45229971251315] |
[a1,a2,a3,a4,a6] |
Generators |
[-1565485872164930474947227386804910545:311208178599679179647012293912381498:55370613101740637999271503332375] |
Generators of the group modulo torsion |
j |
1527082049349360244805851930749913/2971896690811790767620096 |
j-invariant |
L |
2.1035964848524 |
L(r)(E,1)/r! |
Ω |
0.021571882715065 |
Real period |
R |
48.757832420982 |
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 |
15504z2 62016bi2 5814r2 48450br2 |
Quadratic twists by: -4 8 -3 5 |