Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050cg |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
16156800 |
Modular degree for the optimal curve |
Δ |
-6.7081140225E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1853930838,30726507816531] |
[a1,a2,a3,a4,a6] |
Generators |
[3105:4998447:1] |
Generators of the group modulo torsion |
j |
-45100802713464654722769650329/4293192974400000000000 |
j-invariant |
L |
6.1689760372321 |
L(r)(E,1)/r! |
Ω |
0.059201862335183 |
Real period |
R |
1.7367066377927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150bx1 5610p1 |
Quadratic twists by: -3 5 |