Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730ce |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-5.8273477397248E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1619500,-1407158383] |
[a1,a2,a3,a4,a6] |
Generators |
[5837:430731:1] |
Generators of the group modulo torsion |
j |
-3992807253720076849/4953163851562500 |
j-invariant |
L |
10.230939734057 |
L(r)(E,1)/r! |
Ω |
0.063913524468849 |
Real period |
R |
0.7410866810722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390t2 |
Quadratic twists by: -7 |