Atkin-Lehner |
2- 3+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71208d |
Isogeny class |
Conductor |
71208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-628909056 = -1 · 210 · 33 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 3 1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,1206] |
[a1,a2,a3,a4,a6] |
Generators |
[19:92:1] [3:36:1] |
Generators of the group modulo torsion |
j |
37044/22747 |
j-invariant |
L |
8.9254702453817 |
L(r)(E,1)/r! |
Ω |
1.2647630626516 |
Real period |
R |
0.88212868766658 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71208a1 |
Quadratic twists by: -3 |