Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006w |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-444972528 = -1 · 24 · 34 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,176,545] |
[a1,a2,a3,a4,a6] |
j |
602708730623/444972528 |
j-invariant |
L |
2.130992725136 |
L(r)(E,1)/r! |
Ω |
1.065496362568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048cn1 18018r1 42042da1 66066h1 |
Quadratic twists by: -4 -3 -7 -11 |