Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gf |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3336403263989760000 = 214 · 318 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6342492,6147430576] |
[a1,a2,a3,a4,a6] |
Generators |
[-1438:110880:1] |
Generators of the group modulo torsion |
j |
2362414115152710736/279338675625 |
j-invariant |
L |
8.4779265716702 |
L(r)(E,1)/r! |
Ω |
0.24150735987529 |
Real period |
R |
4.3880270245548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971419 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83520cw2 20880i2 27840dh2 |
Quadratic twists by: -4 8 -3 |