Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784w |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
2052 |
Product of Tamagawa factors cp |
deg |
39267072 |
Modular degree for the optimal curve |
Δ |
7.835432444406E+28 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -3 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1092516104,-3437235031788] |
[a1,a2,a3,a4,a6] |
Generators |
[259978:-131469156:1] |
Generators of the group modulo torsion |
j |
86323786849188610514/46901442470561469 |
j-invariant |
L |
5.8608664855707 |
L(r)(E,1)/r! |
Ω |
0.028008982358179 |
Real period |
R |
0.10197345675342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28392c1 56784k1 |
Quadratic twists by: -4 13 |