Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3003b |
Isogeny class |
Conductor |
3003 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2376 |
Modular degree for the optimal curve |
Δ |
-223810587 = -1 · 33 · 73 · 11 · 133 |
Discriminant |
Eigenvalues |
-2 3+ 4 7+ 11- 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,44,-726] |
[a1,a2,a3,a4,a6] |
j |
9208180736/223810587 |
j-invariant |
L |
0.85682639322784 |
L(r)(E,1)/r! |
Ω |
0.85682639322784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48048cs1 9009f1 75075bt1 21021q1 |
Quadratic twists by: -4 -3 5 -7 |