Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10458i |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-35578116 = -1 · 22 · 37 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126,648] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:24:1] [-3:33:1] |
Generators of the group modulo torsion |
j |
-304821217/48804 |
j-invariant |
L |
3.9206420763367 |
L(r)(E,1)/r! |
Ω |
1.9884635613512 |
Real period |
R |
0.12323088767318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664cl1 3486n1 73206v1 |
Quadratic twists by: -4 -3 -7 |