Atkin-Lehner |
3+ 7+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
43239a |
Isogeny class |
Conductor |
43239 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3158998101 = 32 · 74 · 29 · 712 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ -2 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1319,17700] |
[a1,a2,a3,a4,a6] |
j |
254081161813753/3158998101 |
j-invariant |
L |
2.8477749994622 |
L(r)(E,1)/r! |
Ω |
1.4238874998588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129717a2 |
Quadratic twists by: -3 |