Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370c |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.6305117333578E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-225651928,-1336600870592] |
[a1,a2,a3,a4,a6] |
Generators |
[89403112899724979924266690586422438878622330131701096854942025995609258702986128:22704258984524770418588032411892794874924900359083235448825059375794287605382877752:1308327126930093575887559493410023167613486846258930867189318634988100030471] |
Generators of the group modulo torsion |
j |
-52643812360427830814761/1504091705903677440 |
j-invariant |
L |
4.5688381613533 |
L(r)(E,1)/r! |
Ω |
0.019443677552534 |
Real period |
R |
117.48904364951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610t3 |
Quadratic twists by: 17 |