Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
71540c |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-2.6880546462875E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 -7 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33886701,-75978529201] |
[a1,a2,a3,a4,a6] |
Generators |
[29626:4992365:1] |
Generators of the group modulo torsion |
j |
-142883931524184088576/89250341796875 |
j-invariant |
L |
5.25490457082 |
L(r)(E,1)/r! |
Ω |
0.031285706386524 |
Real period |
R |
6.9985428618751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10220f1 |
Quadratic twists by: -7 |