Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6188d |
Isogeny class |
Conductor |
6188 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-789506859791104 = -1 · 28 · 75 · 133 · 174 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 0 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26341,-2138409] |
[a1,a2,a3,a4,a6] |
Generators |
[602:14161:1] |
Generators of the group modulo torsion |
j |
-7895815816413184/3084011171059 |
j-invariant |
L |
2.5444833392492 |
L(r)(E,1)/r! |
Ω |
0.18382017332598 |
Real period |
R |
1.3842242084806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24752r1 99008bh1 55692z1 43316s1 |
Quadratic twists by: -4 8 -3 -7 |