Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802bs |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
117 |
Product of Tamagawa factors cp |
deg |
1825200 |
Modular degree for the optimal curve |
Δ |
-5.8697466181973E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1642514,890554641] |
[a1,a2,a3,a4,a6] |
Generators |
[3873:227439:1] |
Generators of the group modulo torsion |
j |
-279982582954788217/33535104647168 |
j-invariant |
L |
10.549096661936 |
L(r)(E,1)/r! |
Ω |
0.1921279077014 |
Real period |
R |
0.46928746798051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978a1 53802cm1 |
Quadratic twists by: -3 -7 |