Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596q |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-1.5371737860149E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6019104,-5988731996] |
[a1,a2,a3,a4,a6] |
Generators |
[149031116:2131690626:50653] |
Generators of the group modulo torsion |
j |
-26772667629568/1706457051 |
j-invariant |
L |
6.3484146880958 |
L(r)(E,1)/r! |
Ω |
0.04801632650706 |
Real period |
R |
11.017805773082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999612433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532l1 8892p1 |
Quadratic twists by: -3 13 |