Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bo |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-129136447986 = -1 · 2 · 3 · 73 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1010,12170] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1702:1] |
Generators of the group modulo torsion |
j |
68921/78 |
j-invariant |
L |
4.3200598428591 |
L(r)(E,1)/r! |
Ω |
0.69334232224864 |
Real period |
R |
1.5576936904902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686n1 3822be1 |
Quadratic twists by: -7 13 |