Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330ek |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
4718592 |
Modular degree for the optimal curve |
Δ |
1.2008062487464E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10018868,11011221911] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:125085:1] |
Generators of the group modulo torsion |
j |
1296772724742600169/140009392373760 |
j-invariant |
L |
10.294944840524 |
L(r)(E,1)/r! |
Ω |
0.1230428935302 |
Real period |
R |
0.87155792324222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bl1 8190bn1 |
Quadratic twists by: -3 -7 |