Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330bf |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4.2375739724591E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16662000,95514963200] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:303295:1] |
Generators of the group modulo torsion |
j |
5964709808210123151/49408483478681600 |
j-invariant |
L |
4.1485172276961 |
L(r)(E,1)/r! |
Ω |
0.05690859900085 |
Real period |
R |
4.5561186057196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370t2 8190t2 |
Quadratic twists by: -3 -7 |