Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006r |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2472321852 = -1 · 22 · 36 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,234,1972] |
[a1,a2,a3,a4,a6] |
Generators |
[7:59:1] |
Generators of the group modulo torsion |
j |
1425727406375/2472321852 |
j-invariant |
L |
3.6591451359823 |
L(r)(E,1)/r! |
Ω |
0.99234100177017 |
Real period |
R |
1.8436934125744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
48048be1 18018bm1 42042p1 66066ci1 |
Quadratic twists by: -4 -3 -7 -11 |