Atkin-Lehner |
2+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20618a |
Isogeny class |
Conductor |
20618 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.0758848543664E+22 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 -4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10158368,13426530560] |
[a1,a2,a3,a4,a6] |
Generators |
[1232:52112:1] |
Generators of the group modulo torsion |
j |
-24017922952040513313/2228977476354304 |
j-invariant |
L |
1.2786456733787 |
L(r)(E,1)/r! |
Ω |
0.12518491348769 |
Real period |
R |
2.5535139134486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1586c2 |
Quadratic twists by: 13 |