Atkin-Lehner |
3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019n |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1252232326595026413 = -1 · 32 · 74 · 137 · 314 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60336,-54165951] |
[a1,a2,a3,a4,a6] |
Generators |
[31222:1930445:8] |
Generators of the group modulo torsion |
j |
-5032738790353/259432748757 |
j-invariant |
L |
5.4352997327893 |
L(r)(E,1)/r! |
Ω |
0.11955431328755 |
Real period |
R |
5.6828770810661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952053 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8463a4 |
Quadratic twists by: 13 |