Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774y |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-266045944736 = -1 · 25 · 116 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -1 1 1 11- 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1510,-9657] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2213:1] |
Generators of the group modulo torsion |
j |
214921799/150176 |
j-invariant |
L |
9.1899365855798 |
L(r)(E,1)/r! |
Ω |
0.5537048478934 |
Real period |
R |
0.8298587795004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
494a1 |
Quadratic twists by: -11 |