Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200bm |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-6.722988818432E+20 |
Discriminant |
Eigenvalues |
2+ -1 5- -5 -4 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2171167,-200674463] |
[a1,a2,a3,a4,a6] |
Generators |
[9417:924800:1] |
Generators of the group modulo torsion |
j |
11053587253415/6565418768 |
j-invariant |
L |
2.0520387869867 |
L(r)(E,1)/r! |
Ω |
0.094376956569386 |
Real period |
R |
0.25884531634005 |
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 |
27200cu1 850d1 27200e1 |
Quadratic twists by: -4 8 5 |