Atkin-Lehner |
2- 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890bt |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39552 |
Modular degree for the optimal curve |
Δ |
-141914430 = -1 · 2 · 39 · 5 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52,541] |
[a1,a2,a3,a4,a6] |
j |
804357/7210 |
j-invariant |
L |
2.6922619509807 |
L(r)(E,1)/r! |
Ω |
1.3461309822993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890f1 |
Quadratic twists by: -3 |