Atkin-Lehner |
2- 7+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514l |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
181949756003792 = 24 · 78 · 19 · 473 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -2 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104551,13021775] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:2480:1] [1014:10205:8] |
Generators of the group modulo torsion |
j |
21924014011137/31562192 |
j-invariant |
L |
14.05506053926 |
L(r)(E,1)/r! |
Ω |
0.56839437080708 |
Real period |
R |
0.68687933653238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514m1 |
Quadratic twists by: -7 |