Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442bc |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
1067774902272 = 219 · 32 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -1 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6588,-202467] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:89:1] [-47:101:1] |
Generators of the group modulo torsion |
j |
14393239328125/486014976 |
j-invariant |
L |
14.282932013216 |
L(r)(E,1)/r! |
Ω |
0.53101909183576 |
Real period |
R |
0.35391065759205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442f1 |
Quadratic twists by: 13 |