Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006z |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
33825792 = 210 · 3 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-123,393] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
205901592625/33825792 |
j-invariant |
L |
5.2477734521124 |
L(r)(E,1)/r! |
Ω |
1.9785379132541 |
Real period |
R |
0.53046984007309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048ce1 18018m1 42042dj1 66066f1 |
Quadratic twists by: -4 -3 -7 -11 |