Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
246a |
Isogeny class |
Conductor |
246 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
84 |
Modular degree for the optimal curve |
Δ |
-717336 = -1 · 23 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 2 -7 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-270,-1821] |
[a1,a2,a3,a4,a6] |
j |
-2177286259681/717336 |
j-invariant |
L |
1.7665783843922 |
L(r)(E,1)/r! |
Ω |
0.58885946146405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1968k1 7872i1 738d1 6150m1 |
Quadratic twists by: -4 8 -3 5 |