Atkin-Lehner |
2- 3+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20862r |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-1775367548928 = -1 · 212 · 39 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10910,-440531] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2143:1] |
Generators of the group modulo torsion |
j |
-7295740054875/90198016 |
j-invariant |
L |
8.184794126557 |
L(r)(E,1)/r! |
Ω |
0.2333978329834 |
Real period |
R |
2.9223329475454 |
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 |
20862c1 |
Quadratic twists by: -3 |