Atkin-Lehner |
2- 3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dm |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2186948211926087610 = -1 · 2 · 36 · 5 · 72 · 118 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-440417,133219531] |
[a1,a2,a3,a4,a6] |
Generators |
[2462:40147:8] |
Generators of the group modulo torsion |
j |
-12959477208091719369/2999928960118090 |
j-invariant |
L |
12.041372613377 |
L(r)(E,1)/r! |
Ω |
0.24831753506441 |
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 |
10010a4 |
Quadratic twists by: -3 |