Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450j |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-1.518910034128E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 3 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,427099,-153645552] |
[a1,a2,a3,a4,a6] |
Generators |
[29846:1833223:8] |
Generators of the group modulo torsion |
j |
214921799/378880 |
j-invariant |
L |
3.3283546488532 |
L(r)(E,1)/r! |
Ω |
0.1161585976636 |
Real period |
R |
3.5816920961745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690h1 1850l1 |
Quadratic twists by: 5 37 |