Atkin-Lehner |
2+ 3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302d |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-13278336111612 = -1 · 22 · 312 · 113 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8873,-370095] |
[a1,a2,a3,a4,a6] |
j |
-77270128054040089/13278336111612 |
j-invariant |
L |
1.461972433218 |
L(r)(E,1)/r! |
Ω |
0.24366207220299 |
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 |
48906bg1 |
Quadratic twists by: -3 |