Atkin-Lehner |
2+ 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320c |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-4.5707078355469E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1502658,780042393] |
[a1,a2,a3,a4,a6] |
j |
-1191496800611616768/145135009765625 |
j-invariant |
L |
2.3531391722655 |
L(r)(E,1)/r! |
Ω |
0.19609493124189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67320x1 |
Quadratic twists by: -3 |