Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050ca |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
103824 |
Modular degree for the optimal curve |
Δ |
-188385461250 = -1 · 2 · 3 · 54 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3238,72581] |
[a1,a2,a3,a4,a6] |
j |
-6007345507825/301416738 |
j-invariant |
L |
0.99793426483419 |
L(r)(E,1)/r! |
Ω |
0.99793425998609 |
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 |
64050ba1 |
Quadratic twists by: 5 |