Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070bd |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
3194347624473600 = 210 · 38 · 52 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36887,-193489] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:1326:1] |
Generators of the group modulo torsion |
j |
7613864666728489/4381821158400 |
j-invariant |
L |
10.926441715669 |
L(r)(E,1)/r! |
Ω |
0.37483082646725 |
Real period |
R |
0.72875821198565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999401 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18690g2 |
Quadratic twists by: -3 |