Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400co |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-123904000000 = -1 · 216 · 56 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1192,-5612] |
[a1,a2,a3,a4,a6] |
Generators |
[44:366:1] |
Generators of the group modulo torsion |
j |
24167/16 |
j-invariant |
L |
4.1638454625732 |
L(r)(E,1)/r! |
Ω |
0.59513871012703 |
Real period |
R |
3.4982142748695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050j1 1936i1 48400cm1 |
Quadratic twists by: -4 5 -11 |