Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6030y |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-126601056000 = -1 · 28 · 310 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1138,8349] |
[a1,a2,a3,a4,a6] |
Generators |
[17:171:1] |
Generators of the group modulo torsion |
j |
223759095911/173664000 |
j-invariant |
L |
6.0385778234527 |
L(r)(E,1)/r! |
Ω |
0.66963365635162 |
Real period |
R |
0.37573889383244 |
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 |
48240bt1 2010a1 30150q1 |
Quadratic twists by: -4 -3 5 |