Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840r |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
112530000 = 24 · 3 · 54 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19371,1031280] |
[a1,a2,a3,a4,a6] |
Generators |
[-1142:7623:8] |
Generators of the group modulo torsion |
j |
50243776201099264/7033125 |
j-invariant |
L |
8.1946799371418 |
L(r)(E,1)/r! |
Ω |
1.4613530300562 |
Real period |
R |
5.6075977340111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920f1 |
Quadratic twists by: -4 |