Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573r |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2283008 |
Modular degree for the optimal curve |
Δ |
1.3185193891151E+19 |
Discriminant |
Eigenvalues |
1 3- -3 7- 11+ 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-632256,83357441] |
[a1,a2,a3,a4,a6] |
Generators |
[-31280:45941703:4913] |
Generators of the group modulo torsion |
j |
950152003191/448204933 |
j-invariant |
L |
4.9579900933405 |
L(r)(E,1)/r! |
Ω |
0.19995141667486 |
Real period |
R |
12.397986976703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999465991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12397p1 111573q1 |
Quadratic twists by: -3 -7 |