Atkin-Lehner |
2- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4606h |
Isogeny class |
Conductor |
4606 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2856 |
Modular degree for the optimal curve |
Δ |
-2167565176 = -1 · 23 · 78 · 47 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,293,1161] |
[a1,a2,a3,a4,a6] |
j |
482447/376 |
j-invariant |
L |
0.94029502970891 |
L(r)(E,1)/r! |
Ω |
0.94029502970891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36848h1 41454i1 115150c1 4606l1 |
Quadratic twists by: -4 -3 5 -7 |