Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090b |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-290304567000 = -1 · 23 · 39 · 53 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1605,7325] |
[a1,a2,a3,a4,a6] |
Generators |
[1:94:1] |
Generators of the group modulo torsion |
j |
23222304477/14749000 |
j-invariant |
L |
2.9654084286288 |
L(r)(E,1)/r! |
Ω |
0.60542697998871 |
Real period |
R |
0.81634078830452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27090be1 |
Quadratic twists by: -3 |