Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10458q |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-630251077176 = -1 · 23 · 39 · 7 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2131,4429] |
[a1,a2,a3,a4,a6] |
Generators |
[1:80:1] |
Generators of the group modulo torsion |
j |
54396858069/32020072 |
j-invariant |
L |
5.8355737735819 |
L(r)(E,1)/r! |
Ω |
0.55448230193807 |
Real period |
R |
1.7540607257091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664bd2 10458b1 73206bd2 |
Quadratic twists by: -4 -3 -7 |