Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
39648f |
Isogeny class |
Conductor |
39648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-14986944 = -1 · 26 · 34 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,58,-60] |
[a1,a2,a3,a4,a6] |
j |
331373888/234171 |
j-invariant |
L |
4.9974258653974 |
L(r)(E,1)/r! |
Ω |
1.249356466352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39648h1 79296h2 118944v1 |
Quadratic twists by: -4 8 -3 |