Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ep |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3878280000000 = -1 · 29 · 36 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3895,13897] |
[a1,a2,a3,a4,a6] |
Generators |
[79:860:1] |
Generators of the group modulo torsion |
j |
573856191/340480 |
j-invariant |
L |
9.9890469736178 |
L(r)(E,1)/r! |
Ω |
0.47831640529141 |
Real period |
R |
0.29005227917674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650a1 11970z1 |
Quadratic twists by: -3 5 |