Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52896h |
Isogeny class |
Conductor |
52896 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
156735502848 = 29 · 34 · 194 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1392,-6552] |
[a1,a2,a3,a4,a6] |
Generators |
[3687:223896:1] |
Generators of the group modulo torsion |
j |
583019945864/306124029 |
j-invariant |
L |
8.5934119598915 |
L(r)(E,1)/r! |
Ω |
0.82861368860668 |
Real period |
R |
5.1854151566901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52896e3 105792bc3 |
Quadratic twists by: -4 8 |