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 |
Δ |
442430208 = 28 · 33 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76172,8066388] |
[a1,a2,a3,a4,a6] |
j |
190930594365830608/1728243 |
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 |
12144u2 48576f2 9108l2 75900k2 |
Quadratic twists by: -4 8 -3 5 |