Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090r |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-582544497780 = -1 · 22 · 38 · 5 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,36801] |
[a1,a2,a3,a4,a6] |
Generators |
[12:183:1] [-210:1347:8] |
Generators of the group modulo torsion |
j |
-1732323601/799100820 |
j-invariant |
L |
5.8020149750437 |
L(r)(E,1)/r! |
Ω |
0.74486649240307 |
Real period |
R |
0.48683346564612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030bd2 |
Quadratic twists by: -3 |