Atkin-Lehner |
2+ 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950r |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-501479053718750 = -1 · 2 · 56 · 19 · 615 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -3 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2050376,-1130222852] |
[a1,a2,a3,a4,a6] |
Generators |
[86304:4223972:27] |
Generators of the group modulo torsion |
j |
-61010405398305333361/32094659438 |
j-invariant |
L |
5.6065690509168 |
L(r)(E,1)/r! |
Ω |
0.063082833629747 |
Real period |
R |
8.8876303238669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2318e2 |
Quadratic twists by: 5 |