Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478bw |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-5.7075750221741E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11+ -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,243607,360463785] |
[a1,a2,a3,a4,a6] |
Generators |
[689:28896:1] [-445:13020:1] |
Generators of the group modulo torsion |
j |
46617130799/1664188416 |
j-invariant |
L |
13.732649962872 |
L(r)(E,1)/r! |
Ω |
0.14975327155065 |
Real period |
R |
0.38209098374156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826j1 3762c1 |
Quadratic twists by: -3 -19 |