Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050bm |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
669871503125000 = 23 · 58 · 118 |
Discriminant |
Eigenvalues |
2- -2 5- -1 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24263,-753983] |
[a1,a2,a3,a4,a6] |
j |
18865/8 |
j-invariant |
L |
1.1920600245012 |
L(r)(E,1)/r! |
Ω |
0.3973533415004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48400db1 54450db1 6050i1 6050r1 |
Quadratic twists by: -4 -3 5 -11 |