Atkin-Lehner |
2- 3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dm |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
70236416250 = 2 · 36 · 54 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7399397,7749010819] |
[a1,a2,a3,a4,a6] |
Generators |
[12574:-5741:8] |
Generators of the group modulo torsion |
j |
61458947171027474307849/96346250 |
j-invariant |
L |
12.041372613377 |
L(r)(E,1)/r! |
Ω |
0.49663507012883 |
Real period |
R |
3.0307396051925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010a3 |
Quadratic twists by: -3 |