Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36518a |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2263255825453678592 = -1 · 227 · 19 · 316 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 6 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82185,72912709] |
[a1,a2,a3,a4,a6] |
Generators |
[-27596:354953:64] |
Generators of the group modulo torsion |
j |
-69173457625/2550136832 |
j-invariant |
L |
2.5854510019236 |
L(r)(E,1)/r! |
Ω |
0.21599832169462 |
Real period |
R |
5.9848867843951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38a2 |
Quadratic twists by: -31 |