Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140j |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4578003360000 = -1 · 28 · 38 · 54 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2697,-87698] |
[a1,a2,a3,a4,a6] |
Generators |
[47:378:1] |
Generators of the group modulo torsion |
j |
11625163184/24530625 |
j-invariant |
L |
7.042567305063 |
L(r)(E,1)/r! |
Ω |
0.40235671804093 |
Real period |
R |
1.4586077028666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37380l2 |
Quadratic twists by: -3 |