Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
46200cy |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
deg |
11354112 |
Modular degree for the optimal curve |
Δ |
1.2092204737032E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169327383,-662879537262] |
[a1,a2,a3,a4,a6] |
Generators |
[-8997:363825:1] |
Generators of the group modulo torsion |
j |
2147658844706816042407936/483688189481299210485 |
j-invariant |
L |
7.4854882295255 |
L(r)(E,1)/r! |
Ω |
0.042527134907422 |
Real period |
R |
0.52385938593938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400c1 9240g1 |
Quadratic twists by: -4 5 |