Atkin-Lehner |
5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67915a |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54699200 |
Modular degree for the optimal curve |
Δ |
-1.359876868266E+20 |
Discriminant |
Eigenvalues |
-2 -1 5+ 0 -4 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6051821936,181209999900102] |
[a1,a2,a3,a4,a6] |
Generators |
[44988:27021:1] |
Generators of the group modulo torsion |
j |
-206700650510757328719872/1146725035 |
j-invariant |
L |
0.44020887646297 |
L(r)(E,1)/r! |
Ω |
0.089424794000302 |
Real period |
R |
2.4613357003325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67915n1 |
Quadratic twists by: 17 |