Atkin-Lehner |
3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475t |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.2306935763359E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2922788255,60820332002372] |
[a1,a2,a3,a4,a6] |
Generators |
[817245244340861622:-167332944601186859195:11533984760584] |
Generators of the group modulo torsion |
j |
242419872314743996084037281/371418914794921875 |
j-invariant |
L |
3.9572163069971 |
L(r)(E,1)/r! |
Ω |
0.066327525503278 |
Real period |
R |
29.830875486434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825l8 16695j7 |
Quadratic twists by: -3 5 |