Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10458j |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-36464791265658 = -1 · 2 · 322 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 3 2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28854,1915974] |
[a1,a2,a3,a4,a6] |
j |
-3644372262934369/50020289802 |
j-invariant |
L |
1.305595370638 |
L(r)(E,1)/r! |
Ω |
0.65279768531898 |
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 |
83664cm1 3486p1 73206ba1 |
Quadratic twists by: -4 -3 -7 |