Atkin-Lehner |
2+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810m |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
22399664032000 = 28 · 53 · 176 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20284,-1083312] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:164:1] |
Generators of the group modulo torsion |
j |
38238692409/928000 |
j-invariant |
L |
4.3099547795897 |
L(r)(E,1)/r! |
Ω |
0.40063831386574 |
Real period |
R |
1.7929533246708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
290a1 |
Quadratic twists by: 17 |