Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330cq |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-4.7453272635525E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-326664,-339049152] |
[a1,a2,a3,a4,a6] |
Generators |
[1872:-75816:1] |
Generators of the group modulo torsion |
j |
-107920681386000721/1328441886720000 |
j-invariant |
L |
5.4630693049175 |
L(r)(E,1)/r! |
Ω |
0.085860378836272 |
Real period |
R |
1.3255700172273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110cs1 57330n1 |
Quadratic twists by: -3 -7 |