Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10458q |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-393555456 = -1 · 29 · 33 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-389,3197] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:52:1] |
Generators of the group modulo torsion |
j |
-240525801459/14576128 |
j-invariant |
L |
5.8355737735819 |
L(r)(E,1)/r! |
Ω |
1.6634469058142 |
Real period |
R |
0.58468690856969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
83664bd1 10458b2 73206bd1 |
Quadratic twists by: -4 -3 -7 |