Atkin-Lehner |
3- 13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681d |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2273280 |
Modular degree for the optimal curve |
Δ |
3.7371998329106E+21 |
Discriminant |
Eigenvalues |
1 3- 0 2 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8086347,8349693664] |
[a1,a2,a3,a4,a6] |
Generators |
[8684925345486096:-1163211506365307572:476562552731] |
Generators of the group modulo torsion |
j |
80214583959472666056625/5126474393567362953 |
j-invariant |
L |
7.1676309784767 |
L(r)(E,1)/r! |
Ω |
0.13745838376451 |
Real period |
R |
26.072003693434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19227a1 |
Quadratic twists by: -3 |