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 |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-236992959 = -1 · 34 · 72 · 292 · 71 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ -2 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14,735] |
[a1,a2,a3,a4,a6] |
j |
-338608873/236992959 |
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 |
129717a1 |
Quadratic twists by: -3 |