Atkin-Lehner |
2+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872v |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-60964621225295872 = -1 · 240 · 7 · 892 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30239,11695713] |
[a1,a2,a3,a4,a6] |
Generators |
[55899950187900:1755846128177441:59319000000] |
Generators of the group modulo torsion |
j |
11664649752839/232561573888 |
j-invariant |
L |
11.159598069866 |
L(r)(E,1)/r! |
Ω |
0.26192172253235 |
Real period |
R |
21.303307648499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39872be1 1246g1 |
Quadratic twists by: -4 8 |