Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3036g |
Isogeny class |
Conductor |
3036 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-35904719664 = -1 · 24 · 36 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4757,125040] |
[a1,a2,a3,a4,a6] |
j |
-744208243621888/2244044979 |
j-invariant |
L |
3.4890326517895 |
L(r)(E,1)/r! |
Ω |
1.1630108839298 |
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 |
12144u1 48576f1 9108l1 75900k1 |
Quadratic twists by: -4 8 -3 5 |