Atkin-Lehner |
2+ 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3096b |
Isogeny class |
Conductor |
3096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
297216 = 28 · 33 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,90] |
[a1,a2,a3,a4,a6] |
j |
949104/43 |
j-invariant |
L |
3.0391293209606 |
L(r)(E,1)/r! |
Ω |
3.0391293209606 |
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 |
6192a1 24768b1 3096g1 77400x1 |
Quadratic twists by: -4 8 -3 5 |