Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6050b |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1331000000000 = -1 · 29 · 59 · 113 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 11+ 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4876,141898] |
[a1,a2,a3,a4,a6] |
Generators |
[32:121:1] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
3.7321741121456 |
L(r)(E,1)/r! |
Ω |
0.83577064848347 |
Real period |
R |
1.1163870491617 |
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 |
48400bm1 54450fd1 1210k1 6050w1 |
Quadratic twists by: -4 -3 5 -11 |