Atkin-Lehner |
3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55575r |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-1.4234811441788E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ -5 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1175967,523625566] |
[a1,a2,a3,a4,a6] |
Generators |
[1190:27836:1] |
Generators of the group modulo torsion |
j |
-15789259762088617/1249695380349 |
j-invariant |
L |
4.1409332774408 |
L(r)(E,1)/r! |
Ω |
0.21821893747036 |
Real period |
R |
0.94880245623504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18525f1 2223a1 |
Quadratic twists by: -3 5 |