Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304h |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
445559046008832 = 212 · 316 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55740,-4962368] |
[a1,a2,a3,a4,a6] |
j |
6414120712000/149216823 |
j-invariant |
L |
1.2446095675611 |
L(r)(E,1)/r! |
Ω |
0.31115239188824 |
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 |
38304u2 76608eb1 12768u2 |
Quadratic twists by: -4 8 -3 |